2552416824 has 64 divisors (see below), whose sum is σ = 6543361440. Its totient is φ = 829370880.

The previous prime is 2552416793. The next prime is 2552416859. The reversal of 2552416824 is 4286142552.

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, 193314 + ... + 206094.

Almost surely, 2^2552416824 is an apocalyptic number.

2552416824 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 2552416824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271680720).

2552416824 is an abundant number, since it is smaller than the sum of its proper divisors (3990944616).

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

2552416824 is a wasteful number, since it uses less digits than its factorization.

2552416824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13000 (or 12996 counting only the distinct ones).

The product of its digits is 153600, while the sum is 39.

The square root of 2552416824 is about 50521.4491478619. The cubic root of 2552416824 is about 1366.6286872121.

The spelling of 2552416824 in words is "two billion, five hundred fifty-two million, four hundred sixteen thousand, eight hundred twenty-four".