2627376264 has 96 divisors (see below), whose sum is σ = 7424464320. Its totient is φ = 870440256.

The previous prime is 2627376251. The next prime is 2627376287. The reversal of 2627376264 is 4626737262.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 320602 + ... + 328694.

It is an arithmetic number, because the mean of its divisors is an integer number (77338170).

Almost surely, 2^2627376264 is an apocalyptic number.

2627376264 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 2627376264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712232160).

2627376264 is an abundant number, since it is smaller than the sum of its proper divisors (4797088056).

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

2627376264 is a wasteful number, since it uses less digits than its factorization.

2627376264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8281 (or 8265 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 2627376264 is about 51257.9385461413. The cubic root of 2627376264 is about 1379.8782123147.

The spelling of 2627376264 in words is "two billion, six hundred twenty-seven million, three hundred seventy-six thousand, two hundred sixty-four".