2537648064 has 252 divisors, whose sum is σ = 8645798304. Its totient is φ = 709244928.

The previous prime is 2537648041. The next prime is 2537648101. The reversal of 2537648064 is 4608467352.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1325572 + ... + 1327484.

Almost surely, 2^2537648064 is an apocalyptic number.

2537648064 is a gapful number since it is divisible by the number (24) 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 2537648064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322899152).

2537648064 is an abundant number, since it is smaller than the sum of its proper divisors (6108150240).

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

2537648064 is a wasteful number, since it uses less digits than its factorization.

2537648064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2537648064 is about 50375.0738361742. The cubic root of 2537648064 is about 1363.9877307600.

The spelling of 2537648064 in words is "two billion, five hundred thirty-seven million, six hundred forty-eight thousand, sixty-four".