2892902144 has 108 divisors (see below), whose sum is σ = 6515311320. Its totient is φ = 1271347200.

The previous prime is 2892902141. The next prime is 2892902147. The reversal of 2892902144 is 4412092982.

It is an interprime number because it is at equal distance from previous prime (2892902141) and next prime (2892902147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2892902141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2705642 + ... + 2706710.

Almost surely, 2^2892902144 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 2892902144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257655660).

2892902144 is an abundant number, since it is smaller than the sum of its proper divisors (3622409176).

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

2892902144 is a wasteful number, since it uses less digits than its factorization.

2892902144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 2892902144 is about 53785.7057590583. The cubic root of 2892902144 is about 1424.8787657608.

The spelling of 2892902144 in words is "two billion, eight hundred ninety-two million, nine hundred two thousand, one hundred forty-four".