2562253824 has 176 divisors, whose sum is σ = 7452914112. Its totient is φ = 777879552.

The previous prime is 2562253817. The next prime is 2562253891. The reversal of 2562253824 is 4283522652.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3314302 + ... + 3315074.

Almost surely, 2^2562253824 is an apocalyptic number.

2562253824 is a gapful number since it is divisible by the number (24) 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 2562253824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726457056).

2562253824 is an abundant number, since it is smaller than the sum of its proper divisors (4890660288).

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

2562253824 is a wasteful number, since it uses less digits than its factorization.

2562253824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 874 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 2562253824 is about 50618.7102166778. The cubic root of 2562253824 is about 1368.3820963377.

The spelling of 2562253824 in words is "two billion, five hundred sixty-two million, two hundred fifty-three thousand, eight hundred twenty-four".