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2680483840 = 2125177699
BaseRepresentation
bin1001111111000100…
…1111000000000000
320220210210200120021
42133301033000000
520442200440330
61121552023224
7123265510456
oct23761170000
96823720507
102680483840
111156077201
12629831b14
13339442618
141b5dd29d6
1510a4cc67a
hex9fc4f000

2680483840 has 104 divisors (see below), whose sum is σ = 6811635600. Its totient is φ = 1008992256.

The previous prime is 2680483831. The next prime is 2680483847. The reversal of 2680483840 is 483840862.

It is a super-2 number, since 2×26804838402 = 14369987233002291200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680483847) 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 7 ways as a sum of consecutive naturals, for example, 344311 + ... + 352009.

Almost surely, 22680483840 is an apocalyptic number.

2680483840 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 2680483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405817800).

2680483840 is an abundant number, since it is smaller than the sum of its proper divisors (4131151760).

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

2680483840 is an equidigital number, since it uses as much as digits as its factorization.

2680483840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7745 (or 7723 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The square root of 2680483840 is about 51773.3893037726. The cubic root of 2680483840 is about 1389.1134971528.

The spelling of 2680483840 in words is "two billion, six hundred eighty million, four hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2048 2176 2560 2720 4096 4352 5120 5440 7699 8704 10240 10880 15398 17408 20480 21760 30796 34816 38495 43520 61592 69632 76990 87040 123184 130883 153980 174080 246368 261766 307960 348160 492736 523532 615920 654415 985472 1047064 1231840 1308830 1970944 2094128 2463680 2617660 3941888 4188256 4927360 5235320 7883776 8376512 9854720 10470640 15767552 16753024 19709440 20941280 31535104 33506048 39418880 41882560 67012096 78837760 83765120 134024192 157675520 167530240 268048384 335060480 536096768 670120960 1340241920 2680483840