2551689360 has 480 divisors, whose sum is σ = 10176491520. Its totient is φ = 566092800.

The previous prime is 2551689337. The next prime is 2551689373. The reversal of 2551689360 is 639861552.

2551689360 is a `hidden beast` number, since 2 + 551 + 6 + 8 + 93 + 6 + 0 = 666.

It is a super-2 number, since 2×2551689360² = 13022237179874419200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4664607 + ... + 4665153.

It is an arithmetic number, because the mean of its divisors is an integer number (21201024).

Almost surely, 2^2551689360 is an apocalyptic number.

2551689360 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 2551689360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088245760).

2551689360 is an abundant number, since it is smaller than the sum of its proper divisors (7624802160).

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

2551689360 is a wasteful number, since it uses less digits than its factorization.

2551689360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 2551689360 is about 50514.2490788490. The cubic root of 2551689360 is about 1366.4988406517.

The spelling of 2551689360 in words is "two billion, five hundred fifty-one million, six hundred eighty-nine thousand, three hundred sixty".