2527264512 has 108 divisors (see below), whose sum is σ = 7300710144. Its totient is φ = 840806400.

The previous prime is 2527264511. The next prime is 2527264513. The reversal of 2527264512 is 2154627252.

2527264512 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 2 + 645 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2527264511) and next prime (2527264513).

It is a super-2 number, since 2×2527264512² = 12774131827229196288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2527264511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2195137 + ... + 2196287.

It is an arithmetic number, because the mean of its divisors is an integer number (67599168).

Almost surely, 2^2527264512 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 2527264512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3650355072).

2527264512 is an abundant number, since it is smaller than the sum of its proper divisors (4773445632).

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

2527264512 is a wasteful number, since it uses less digits than its factorization.

2527264512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2109 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 2527264512 is about 50271.9057924006. The cubic root of 2527264512 is about 1362.1247985421.

The spelling of 2527264512 in words is "two billion, five hundred twenty-seven million, two hundred sixty-four thousand, five hundred twelve".