2551963320 has 160 divisors (see below), whose sum is σ = 8611027920. Its totient is φ = 677859840.

The previous prime is 2551963319. The next prime is 2551963339. The reversal of 2551963320 is 233691552.

2551963320 is a `hidden beast` number, since 2 + 5 + 5 + 19 + 633 + 2 + 0 = 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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 909039 + ... + 911841.

Almost surely, 2^2551963320 is an apocalyptic number.

2551963320 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 2551963320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305513960).

2551963320 is an abundant number, since it is smaller than the sum of its proper divisors (6059064600).

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

2551963320 is a wasteful number, since it uses less digits than its factorization.

2551963320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 2551963320 is about 50516.9607161793. The cubic root of 2551963320 is about 1366.5477432378.

The spelling of 2551963320 in words is "two billion, five hundred fifty-one million, nine hundred sixty-three thousand, three hundred twenty".