2553357100 has 72 divisors (see below), whose sum is σ = 6349281120. Its totient is φ = 873093120.

The previous prime is 2553357083. The next prime is 2553357119. The reversal of 2553357100 is 17533552.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267612 + ... + 276988.

It is an arithmetic number, because the mean of its divisors is an integer number (88184460).

Almost surely, 2^2553357100 is an apocalyptic number.

2553357100 is a gapful number since it is divisible by the number (20) 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 2553357100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174640560).

2553357100 is an abundant number, since it is smaller than the sum of its proper divisors (3795924020).

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

2553357100 is a wasteful number, since it uses less digits than its factorization.

2553357100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9787 (or 9780 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 31.

The square root of 2553357100 is about 50530.7540018947. The cubic root of 2553357100 is about 1366.7964824801.

The spelling of 2553357100 in words is "two billion, five hundred fifty-three million, three hundred fifty-seven thousand, one hundred".