2527640190564 has 96 divisors (see below), whose sum is σ = 6268698576000. Its totient is φ = 789949532160.

The previous prime is 2527640190563. The next prime is 2527640190587. The reversal of 2527640190564 is 4650910467252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (2527640190563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76091919 + ... + 76125129.

It is an arithmetic number, because the mean of its divisors is an integer number (65298943500).

Almost surely, 2^{2527640190564} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2527640190564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134349288000).

2527640190564 is an abundant number, since it is smaller than the sum of its proper divisors (3741058385436).

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

2527640190564 is a wasteful number, since it uses less digits than its factorization.

2527640190564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34653 (or 34651 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 2527640190564 in words is "two trillion, five hundred twenty-seven billion, six hundred forty million, one hundred ninety thousand, five hundred sixty-four".