2256516226640 has 80 divisors (see below), whose sum is σ = 5650295389200. Its totient is φ = 833127161856.

The previous prime is 2256516226639. The next prime is 2256516226663. The reversal of 2256516226640 is 466226156522.

It can be written as a sum of positive squares in 8 ways, for example, as 20151505936 + 2236364720704 = 141956^2 + 1495448^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21568376 + ... + 21672744.

It is an arithmetic number, because the mean of its divisors is an integer number (70628692365).

Almost surely, 2^{2256516226640} is an apocalyptic number.

2256516226640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256516226640 is an abundant number, since it is smaller than the sum of its proper divisors (3393779162560).

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

2256516226640 is a wasteful number, since it uses less digits than its factorization.

2256516226640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125184 (or 125178 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 47.

The spelling of 2256516226640 in words is "two trillion, two hundred fifty-six billion, five hundred sixteen million, two hundred twenty-six thousand, six hundred forty".