2551515120 has 960 divisors, whose sum is σ = 11849241600. Its totient is φ = 489646080.

The previous prime is 2551515107. The next prime is 2551515133. The reversal of 2551515120 is 215151552.

2551515120 is a `hidden beast` number, since 25 + 5 + 1 + 515 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (2551515107) and next prime (2551515133).

It is a super-2 number, since 2×2551515120² = 13020458815177228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 87983266 + ... + 87983294.

It is an arithmetic number, because the mean of its divisors is an integer number (12342960).

Almost surely, 2^2551515120 is an apocalyptic number.

2551515120 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 2551515120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5924620800).

2551515120 is an abundant number, since it is smaller than the sum of its proper divisors (9297726480).

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

2551515120 is a wasteful number, since it uses less digits than its factorization.

2551515120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

The square root of 2551515120 is about 50512.5243875220. The cubic root of 2551515120 is about 1366.4677365289.

Adding to 2551515120 its reverse (215151552), we get a palindrome (2766666672).

The spelling of 2551515120 in words is "two billion, five hundred fifty-one million, five hundred fifteen thousand, one hundred twenty".