2890502160 has 640 divisors, whose sum is σ = 11715916800. Its totient is φ = 585252864.

The previous prime is 2890502143. The next prime is 2890502171. The reversal of 2890502160 is 612050982.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39595884 + ... + 39595956.

It is an arithmetic number, because the mean of its divisors is an integer number (18306120).

Almost surely, 2^2890502160 is an apocalyptic number.

2890502160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2890502160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5857958400).

2890502160 is an abundant number, since it is smaller than the sum of its proper divisors (8825414640).

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

2890502160 is a wasteful number, since it uses less digits than its factorization.

2890502160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 2890502160 is about 53763.3905180840. The cubic root of 2890502160 is about 1424.4846249550.

The spelling of 2890502160 in words is "two billion, eight hundred ninety million, five hundred two thousand, one hundred sixty".