2772135624 has 32 divisors (see below), whose sum is σ = 7099374240. Its totient is φ = 901507200.

The previous prime is 2772135581. The next prime is 2772135629. The reversal of 2772135624 is 4265312772.

It is not an unprimeable number, because it can be changed into a prime (2772135629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1407622 + ... + 1409589.

It is an arithmetic number, because the mean of its divisors is an integer number (221855445).

Almost surely, 2^2772135624 is an apocalyptic number.

2772135624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2772135624 is an abundant number, since it is smaller than the sum of its proper divisors (4327238616).

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

2772135624 is a wasteful number, since it uses less digits than its factorization.

2772135624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817261 (or 2817257 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 2772135624 is about 52651.0742910342. The cubic root of 2772135624 is about 1404.7687083543.

The spelling of 2772135624 in words is "two billion, seven hundred seventy-two million, one hundred thirty-five thousand, six hundred twenty-four".