2553157376 has 288 divisors, whose sum is σ = 7099384320. Its totient is φ = 884736000.

The previous prime is 2553157363. The next prime is 2553157403. The reversal of 2553157376 is 6737513552.

It is a super-2 number, since 2×2553157376² = 13037225173246410752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6366776 + ... + 6367176.

It is an arithmetic number, because the mean of its divisors is an integer number (24650640).

Almost surely, 2^2553157376 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 2553157376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549692160).

2553157376 is an abundant number, since it is smaller than the sum of its proper divisors (4546226944).

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

2553157376 is a wasteful number, since it uses less digits than its factorization.

2553157376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 457 counting only the distinct ones).

The product of its digits is 661500, while the sum is 44.

The square root of 2553157376 is about 50528.7777014248. Note that the first 4 decimals coincide. The cubic root of 2553157376 is about 1366.7608445378.

The spelling of 2553157376 in words is "two billion, five hundred fifty-three million, one hundred fifty-seven thousand, three hundred seventy-six".