2872213632 has 72 divisors (see below), whose sum is σ = 8270331615. Its totient is φ = 956798208.

The previous prime is 2872213627. The next prime is 2872213637. The reversal of 2872213632 is 2363122782.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2872213632 is a `hidden beast` number, since 2 + 8 + 7 + 2 + 2 + 13 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (2872213627) and next prime (2872213637).

It can be written as a sum of positive squares in only one way, i.e., 1436106816 + 1436106816 = 37896^2 + 37896^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=37896.

It is a super-2 number, since 2×2872213632² = 16499222295693262848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2872213637) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1818219 + ... + 1819797.

Almost surely, 2^2872213632 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 2872213632

2872213632 is an abundant number, since it is smaller than the sum of its proper divisors (5398117983).

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

2872213632 is an frugal number, since it uses more digits than its factorization.

2872213632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178 (or 1584 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2872213632 is about 53593.0371596908. The cubic root of 2872213632 is about 1421.4739756503.

The spelling of 2872213632 in words is "two billion, eight hundred seventy-two million, two hundred thirteen thousand, six hundred thirty-two".