2553687552 has 320 divisors, whose sum is σ = 7919493120. Its totient is φ = 724598784.

The previous prime is 2553687547. The next prime is 2553687553. The reversal of 2553687552 is 2557863552.

It is a super-2 number, since 2×2553687552² = 13042640226479505408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553687553) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20107713 + ... + 20107839.

It is an arithmetic number, because the mean of its divisors is an integer number (24748416).

Almost surely, 2^2553687552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553687552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959746560).

2553687552 is an abundant number, since it is smaller than the sum of its proper divisors (5365805568).

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

2553687552 is a wasteful number, since it uses less digits than its factorization.

2553687552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its digits is 2520000, while the sum is 48.

The square root of 2553687552 is about 50534.0237068057. The cubic root of 2553687552 is about 1366.8554429167.

The spelling of 2553687552 in words is "two billion, five hundred fifty-three million, six hundred eighty-seven thousand, five hundred fifty-two".