2551562640 has 320 divisors, whose sum is σ = 10153278720. Its totient is φ = 582082560.

The previous prime is 2551562639. The next prime is 2551562701. The reversal of 2551562640 is 462651552.

2551562640 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 5 + 6 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2551562595 and 2551562604.

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 63 ways as a sum of consecutive naturals, for example, 400762 + ... + 407078.

It is an arithmetic number, because the mean of its divisors is an integer number (31728996).

Almost surely, 2^2551562640 is an apocalyptic number.

2551562640 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 2551562640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076639360).

2551562640 is an abundant number, since it is smaller than the sum of its proper divisors (7601716080).

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

2551562640 is a wasteful number, since it uses less digits than its factorization.

2551562640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6367 (or 6355 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2551562640 is about 50512.9947637239. The cubic root of 2551562640 is about 1366.4762196119.

The spelling of 2551562640 in words is "two billion, five hundred fifty-one million, five hundred sixty-two thousand, six hundred forty".