2527505664 has 72 divisors (see below), whose sum is σ = 6735241632. Its totient is φ = 841451520.

The previous prime is 2527505663. The next prime is 2527505681. The reversal of 2527505664 is 4665057252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2527505663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 837919 + ... + 840929.

Almost surely, 2^2527505664 is an apocalyptic number.

2527505664 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 2527505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367620816).

2527505664 is an abundant number, since it is smaller than the sum of its proper divisors (4207735968).

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

2527505664 is a wasteful number, since it uses less digits than its factorization.

2527505664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The square root of 2527505664 is about 50274.3042119928. The cubic root of 2527505664 is about 1362.1681218890.

The spelling of 2527505664 in words is "two billion, five hundred twenty-seven million, five hundred five thousand, six hundred sixty-four".