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2132241840 = 243354872027
BaseRepresentation
bin111111100010111…
…0110110110110000
312111121012002221000
41333011312312300
513331323214330
6551325202000
7103560520341
oct17705666660
95447162830
102132241840
119a465a943
124b6100300
1327c999381
141632800c8
15c72d5560
hex7f176db0

2132241840 has 160 divisors (see below), whose sum is σ = 7363100160. Its totient is φ = 567150336.

The previous prime is 2132241829. The next prime is 2132241851. The reversal of 2132241840 is 481422312.

It is an interprime number because it is at equal distance from previous prime (2132241829) and next prime (2132241851).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1050907 + ... + 1052933.

It is an arithmetic number, because the mean of its divisors is an integer number (46019376).

Almost surely, 22132241840 is an apocalyptic number.

2132241840 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 2132241840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681550080).

2132241840 is an abundant number, since it is smaller than the sum of its proper divisors (5230858320).

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

2132241840 is a wasteful number, since it uses less digits than its factorization.

2132241840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2132241840 is about 46176.2042615025. The cubic root of 2132241840 is about 1287.0995950985.

The spelling of 2132241840 in words is "two billion, one hundred thirty-two million, two 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 90 108 120 135 144 180 216 240 270 360 432 487 540 720 974 1080 1461 1948 2027 2160 2435 2922 3896 4054 4383 4870 5844 6081 7305 7792 8108 8766 9740 10135 11688 12162 13149 14610 16216 17532 18243 19480 20270 21915 23376 24324 26298 29220 30405 32432 35064 36486 38960 40540 43830 48648 52596 54729 58440 60810 65745 70128 72972 81080 87660 91215 97296 105192 109458 116880 121620 131490 145944 162160 175320 182430 210384 218916 243240 262980 273645 291888 350640 364860 437832 486480 525960 547290 729720 875664 987149 1051920 1094580 1459440 1974298 2189160 2961447 3948596 4378320 4935745 5922894 7897192 8884341 9871490 11845788 14807235 15794384 17768682 19742980 23691576 26653023 29614470 35537364 39485960 44421705 47383152 53306046 59228940 71074728 78971920 88843410 106612092 118457880 133265115 142149456 177686820 213224184 236915760 266530230 355373640 426448368 533060460 710747280 1066120920 2132241840