2872632456 has 96 divisors (see below), whose sum is σ = 7884477120. Its totient is φ = 944784000.

The previous prime is 2872632419. The next prime is 2872632467. The reversal of 2872632456 is 6542362782.

2872632456 is a `hidden beast` number, since 2 + 8 + 7 + 2 + 632 + 4 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1771326 + ... + 1772946.

It is an arithmetic number, because the mean of its divisors is an integer number (82129970).

Almost surely, 2^2872632456 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 2872632456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942238560).

2872632456 is an abundant number, since it is smaller than the sum of its proper divisors (5011844664).

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

2872632456 is a wasteful number, since it uses less digits than its factorization.

2872632456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1940 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 2872632456 is about 53596.9444651465. The cubic root of 2872632456 is about 1421.5430650423.

The spelling of 2872632456 in words is "two billion, eight hundred seventy-two million, six hundred thirty-two thousand, four hundred fifty-six".