2527118272 has 112 divisors (see below), whose sum is σ = 6091001280. Its totient is φ = 1015529472.

The previous prime is 2527118219. The next prime is 2527118291. The reversal of 2527118272 is 2728117252.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-4 number, since 4×2527118272⁴ (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2962198 + ... + 2963050.

It is an arithmetic number, because the mean of its divisors is an integer number (54383940).

Almost surely, 2^2527118272 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 2527118272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045500640).

2527118272 is an abundant number, since it is smaller than the sum of its proper divisors (3563883008).

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

2527118272 is a wasteful number, since it uses less digits than its factorization.

2527118272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1268 counting only the distinct ones).

The product of its digits is 31360, while the sum is 37.

The square root of 2527118272 is about 50270.4512810458. The cubic root of 2527118272 is about 1362.0985249470.

The spelling of 2527118272 in words is "two billion, five hundred twenty-seven million, one hundred eighteen thousand, two hundred seventy-two".