2896712032 has 96 divisors (see below), whose sum is σ = 6158164320. Its totient is φ = 1337057280.

The previous prime is 2896712029. The next prime is 2896712047. The reversal of 2896712032 is 2302176982.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7765798 + ... + 7766170.

It is an arithmetic number, because the mean of its divisors is an integer number (64147545).

Almost surely, 2^2896712032 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 2896712032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079082160).

2896712032 is an abundant number, since it is smaller than the sum of its proper divisors (3261452288).

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

2896712032 is a wasteful number, since it uses less digits than its factorization.

2896712032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 2896712032 is about 53821.1113969230. Note that the first 3 decimals coincide. The cubic root of 2896712032 is about 1425.5040026170.

The spelling of 2896712032 in words is "two billion, eight hundred ninety-six million, seven hundred twelve thousand, thirty-two".