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2554553040 = 2435131943093
BaseRepresentation
bin1001100001000011…
…0110001011010000
320121000211201222120
42120100312023100
520212431144130
61101252534240
7120206225334
oct23020661320
96530751876
102554553040
1110a0a84566
125b3621380
13319320060
141a33b17c4
15ee404910
hex984362d0

2554553040 has 160 divisors (see below), whose sum is σ = 8977342080. Its totient is φ = 595703808.

The previous prime is 2554553009. The next prime is 2554553069. The reversal of 2554553040 is 403554552.

It is a junction number, because it is equal to n+sod(n) for n = 2554552992 and 2554553010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37734 + ... + 80826.

It is an arithmetic number, because the mean of its divisors is an integer number (56108388).

Almost surely, 22554553040 is an apocalyptic number.

2554553040 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 2554553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4488671040).

2554553040 is an abundant number, since it is smaller than the sum of its proper divisors (6422789040).

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

2554553040 is a wasteful number, since it uses less digits than its factorization.

2554553040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43141 (or 43135 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 33.

The square root of 2554553040 is about 50542.5863999855. The cubic root of 2554553040 is about 1367.0098423017.

The spelling of 2554553040 in words is "two billion, five hundred fifty-four million, five hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 152 156 190 195 208 228 240 247 260 285 304 312 380 390 456 494 520 570 624 741 760 780 912 988 1040 1140 1235 1482 1520 1560 1976 2280 2470 2964 3120 3705 3952 4560 4940 5928 7410 9880 11856 14820 19760 29640 43093 59280 86186 129279 172372 215465 258558 344744 430930 517116 560209 646395 689488 818767 861860 1034232 1120418 1292790 1637534 1680627 1723720 2068464 2240836 2456301 2585580 2801045 3275068 3361254 3447440 4093835 4481672 4912602 5171160 5602090 6550136 6722508 8187670 8403135 8963344 9825204 10342320 10643971 11204180 12281505 13100272 13445016 16375340 16806270 19650408 21287942 22408360 24563010 26890032 31931913 32750680 33612540 39300816 42575884 44816720 49126020 53219855 63863826 65501360 67225080 85151768 98252040 106439710 127727652 134450160 159659565 170303536 196504080 212879420 255455304 319319130 425758840 510910608 638638260 851517680 1277276520 2554553040