2553003552 has 288 divisors, whose sum is σ = 7968227904. Its totient is φ = 709171200.

The previous prime is 2553003527. The next prime is 2553003553.

2553003552 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2553003553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14104902 + ... + 14105082.

It is an arithmetic number, because the mean of its divisors is an integer number (27667458).

Almost surely, 2^2553003552 is an apocalyptic number.

2553003552 is a gapful number since it is divisible by the number (22) 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 2553003552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984113952).

2553003552 is an abundant number, since it is smaller than the sum of its proper divisors (5415224352).

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

2553003552 is a wasteful number, since it uses less digits than its factorization.

2553003552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 30.

The square root of 2553003552 is about 50527.2555359976. The cubic root of 2553003552 is about 1366.7333955389.

It can be divided in two parts, 255300 and 3552, that added together give a palindrome (258852).

The spelling of 2553003552 in words is "two billion, five hundred fifty-three million, three thousand, five hundred fifty-two".