2556624448 has 56 divisors (see below), whose sum is σ = 5831750592. Its totient is φ = 1089329664.

The previous prime is 2556624443. The next prime is 2556624479. The reversal of 2556624448 is 8444266552.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×2556624448² = 13072657136222609408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2556624398 and 2556624407.

It is not an unprimeable number, because it can be changed into a prime (2556624443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61011 + ... + 93997.

Almost surely, 2^2556624448 is an apocalyptic number.

2556624448 is a gapful number since it is divisible by the number (28) 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 2556624448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915875296).

2556624448 is an abundant number, since it is smaller than the sum of its proper divisors (3275126144).

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

2556624448 is a wasteful number, since it uses less digits than its factorization.

2556624448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33179 (or 33169 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 46.

The square root of 2556624448 is about 50563.0739571874. The cubic root of 2556624448 is about 1367.3792311357.

The spelling of 2556624448 in words is "two billion, five hundred fifty-six million, six hundred twenty-four thousand, four hundred forty-eight".