2872892736 has 126 divisors (see below), whose sum is σ = 9579151530. Its totient is φ = 820818432.

The previous prime is 2872892731. The next prime is 2872892741. The reversal of 2872892736 is 6372982782.

2872892736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2872892731) and next prime (2872892741).

It can be written as a sum of positive squares in only one way, i.e., 2373638400 + 499254336 = 48720^2 + 22344^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872892731) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22671 + ... + 79118.

Almost surely, 2^2872892736 is an apocalyptic number.

It is an amenable number.

2872892736 is an abundant number, since it is smaller than the sum of its proper divisors (6706258794).

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

2872892736 is a wasteful number, since it uses less digits than its factorization.

2872892736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101821 (or 101801 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2872892736 is about 53599.3725336407. The cubic root of 2872892736 is about 1421.5859975627.

The spelling of 2872892736 in words is "two billion, eight hundred seventy-two million, eight hundred ninety-two thousand, seven hundred thirty-six".