2551544064 has 90 divisors (see below), whose sum is σ = 7608304550. Its totient is φ = 850507776.

The previous prime is 2551544057. The next prime is 2551544071. The reversal of 2551544064 is 4604451552.

2551544064 is a `hidden beast` number, since 2 + 5 + 51 + 544 + 0 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (2551544057) and next prime (2551544071).

It can be written as a sum of positive squares in only one way, i.e., 2190240000 + 361304064 = 46800^2 + 19008^2 .

It is a super-2 number, since 2×2551544064² = 13020754221067272192, which contains 22 as substring.

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

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 9 ways as a sum of consecutive naturals, for example, 40789 + ... + 82260.

Almost surely, 2^2551544064 is an apocalyptic number.

2551544064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2551544064 is an abundant number, since it is smaller than the sum of its proper divisors (5056760486).

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

2551544064 is an equidigital number, since it uses as much as digits as its factorization.

2551544064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123077 (or 123054 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 2551544064 is about 50512.8108899119. The cubic root of 2551544064 is about 1366.4729035102.

The spelling of 2551544064 in words is "two billion, five hundred fifty-one million, five hundred forty-four thousand, sixty-four".