2552213120 has 32 divisors (see below), whose sum is σ = 6101386020. Its totient is φ = 1020884992.

The previous prime is 2552213119. The next prime is 2552213149. The reversal of 2552213120 is 213122552.

It can be written as a sum of positive squares in 2 ways, for example, as 2405706304 + 146506816 = 49048^2 + 12104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1993277 + ... + 1994556.

Almost surely, 2^2552213120 is an apocalyptic number.

2552213120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2552213120 is an abundant number, since it is smaller than the sum of its proper divisors (3549172900).

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

2552213120 is an equidigital number, since it uses as much as digits as its factorization.

2552213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3987852 (or 3987840 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 2552213120 is about 50519.4330926229. The cubic root of 2552213120 is about 1366.5923301493.

Adding to 2552213120 its reverse (213122552), we get a palindrome (2765335672).

The spelling of 2552213120 in words is "two billion, five hundred fifty-two million, two hundred thirteen thousand, one hundred twenty".