2552524416 has 96 divisors (see below), whose sum is σ = 7910213220. Its totient is φ = 785387520.

The previous prime is 2552524409. The next prime is 2552524421. The reversal of 2552524416 is 6144252552.

2552524416 is a `hidden beast` number, since 2 + 552 + 52 + 44 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2552270400 + 254016 = 50520^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2552524416² = 13030761788552282112, which contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 70245 + ... + 100196.

Almost surely, 2^2552524416 is an apocalyptic number.

2552524416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2552524416 is an abundant number, since it is smaller than the sum of its proper divisors (5357688804).

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

2552524416 is a wasteful number, since it uses less digits than its factorization.

2552524416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170474 (or 170459 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 2552524416 is about 50522.5139517028. The cubic root of 2552524416 is about 1366.6478894373.

Adding to 2552524416 its reverse (6144252552), we get a palindrome (8696776968).

The spelling of 2552524416 in words is "two billion, five hundred fifty-two million, five hundred twenty-four thousand, four hundred sixteen".