2681851520 has 256 divisors, whose sum is σ = 7238246400. Its totient is φ = 945229824.

The previous prime is 2681851493. The next prime is 2681851573. The reversal of 2681851520 is 251581862.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12026129 + ... + 12026351.

It is an arithmetic number, because the mean of its divisors is an integer number (28274400).

Almost surely, 2^2681851520 is an apocalyptic number.

2681851520 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 2681851520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619123200).

2681851520 is an abundant number, since it is smaller than the sum of its proper divisors (4556394880).

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

2681851520 is a wasteful number, since it uses less digits than its factorization.

2681851520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 38.

The square root of 2681851520 is about 51786.5959491450. The cubic root of 2681851520 is about 1389.3497156649.

The spelling of 2681851520 in words is "two billion, six hundred eighty-one million, eight hundred fifty-one thousand, five hundred twenty".