2553178320 has 1200 divisors, whose sum is σ = 12192130368. Its totient is φ = 487710720.

The previous prime is 2553178307. The next prime is 2553178349. The reversal of 2553178320 is 238713552.

It is a happy number.

2553178320 is a `hidden beast` number, since 2 + 553 + 1 + 7 + 83 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 59376219 + ... + 59376261.

Almost surely, 2^2553178320 is an apocalyptic number.

2553178320 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 2553178320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096065184).

2553178320 is an abundant number, since it is smaller than the sum of its proper divisors (9638952048).

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

2553178320 is a wasteful number, since it uses less digits than its factorization.

2553178320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2553178320 is about 50528.9849492348. The cubic root of 2553178320 is about 1366.7645817876.

The spelling of 2553178320 in words is "two billion, five hundred fifty-three million, one hundred seventy-eight thousand, three hundred twenty".