2681363520 has 448 divisors, whose sum is σ = 10468051200. Its totient is φ = 640696320.

The previous prime is 2681363459. The next prime is 2681363537. The reversal of 2681363520 is 253631862.

It is a happy number.

2681363520 is a `hidden beast` number, since 2 + 6 + 8 + 13 + 635 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8458402 + ... + 8458718.

Almost surely, 2^2681363520 is an apocalyptic number.

2681363520 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 2681363520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234025600).

2681363520 is an abundant number, since it is smaller than the sum of its proper divisors (7786687680).

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

2681363520 is a wasteful number, since it uses less digits than its factorization.

2681363520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2681363520 is about 51781.8840908671. The cubic root of 2681363520 is about 1389.2654400833.

The spelling of 2681363520 in words is "two billion, six hundred eighty-one million, three hundred sixty-three thousand, five hundred twenty".