2672562624 has 56 divisors (see below), whose sum is σ = 7144103568. Its totient is φ = 881664000.

The previous prime is 2672562611. The next prime is 2672562677. The reversal of 2672562624 is 4262652762.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 53127 + ... + 90374.

It is an arithmetic number, because the mean of its divisors is an integer number (127573278).

Almost surely, 2^2672562624 is an apocalyptic number.

2672562624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2672562624 is an abundant number, since it is smaller than the sum of its proper divisors (4471540944).

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

2672562624 is a wasteful number, since it uses less digits than its factorization.

2672562624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143613 (or 143603 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 2672562624 is about 51696.8337908619. The cubic root of 2672562624 is about 1387.7438035338.

The spelling of 2672562624 in words is "two billion, six hundred seventy-two million, five hundred sixty-two thousand, six hundred twenty-four".