2632730256 has 160 divisors (see below), whose sum is σ = 8162394240. Its totient is φ = 807667200.

The previous prime is 2632730209. The next prime is 2632730257. The reversal of 2632730256 is 6520372362.

It is a happy number.

2632730256 is a `hidden beast` number, since 26 + 327 + 302 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2632730256.

It is not an unprimeable number, because it can be changed into a prime (2632730257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3206326 + ... + 3207146.

It is an arithmetic number, because the mean of its divisors is an integer number (51014964).

Almost surely, 2^2632730256 is an apocalyptic number.

2632730256 is a gapful number since it is divisible by the number (26) 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 2632730256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081197120).

2632730256 is an abundant number, since it is smaller than the sum of its proper divisors (5529663984).

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

2632730256 is a wasteful number, since it uses less digits than its factorization.

2632730256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 2632730256 is about 51310.1379456341. The cubic root of 2632730256 is about 1380.8148684546.

The spelling of 2632730256 in words is "two billion, six hundred thirty-two million, seven hundred thirty thousand, two hundred fifty-six".