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2553441840 = 243355212269
BaseRepresentation
bin1001100000110010…
…0110111000110000
320120221202021201000
42120030212320300
520212140114330
61101213042000
7120163616565
oct23014467060
96527667630
102553441840
1110a0395714
125b3186300
13319021341
141a31a286c
15ee285560
hex98326e30

2553441840 has 160 divisors (see below), whose sum is σ = 8815953600. Its totient is φ = 679311360.

The previous prime is 2553441833. The next prime is 2553441841. The reversal of 2553441840 is 481443552.

It is a happy number.

2553441840 is a `hidden beast` number, since 2 + 5 + 534 + 41 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2553441795 and 2553441804.

It is not an unprimeable number, because it can be changed into a prime (2553441841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1124226 + ... + 1126494.

It is an arithmetic number, because the mean of its divisors is an integer number (55099710).

Almost surely, 22553441840 is an apocalyptic number.

2553441840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553441840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407976800).

2553441840 is an abundant number, since it is smaller than the sum of its proper divisors (6262511760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2553441840 is a wasteful number, since it uses less digits than its factorization.

2553441840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2553441840 is about 50531.5924942011. The cubic root of 2553441840 is about 1366.8116025812.

The spelling of 2553441840 in words is "two billion, five hundred fifty-three million, four hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 521 540 720 1042 1080 1563 2084 2160 2269 2605 3126 4168 4538 4689 5210 6252 6807 7815 8336 9076 9378 10420 11345 12504 13614 14067 15630 18152 18756 20421 20840 22690 23445 25008 27228 28134 31260 34035 36304 37512 40842 41680 45380 46890 54456 56268 61263 62520 68070 70335 75024 81684 90760 93780 102105 108912 112536 122526 125040 136140 140670 163368 181520 187560 204210 225072 245052 272280 281340 306315 326736 375120 408420 490104 544560 562680 612630 816840 980208 1125360 1182149 1225260 1633680 2364298 2450520 3546447 4728596 4901040 5910745 7092894 9457192 10639341 11821490 14185788 17732235 18914384 21278682 23642980 28371576 31918023 35464470 42557364 47285960 53196705 56743152 63836046 70928940 85114728 94571920 106393410 127672092 141857880 159590115 170229456 212786820 255344184 283715760 319180230 425573640 510688368 638360460 851147280 1276720920 2553441840