2890407168 has 216 divisors, whose sum is σ = 9250244640. Its totient is φ = 860590080.

The previous prime is 2890407161. The next prime is 2890407197. The reversal of 2890407168 is 8617040982.

2890407168 is a `hidden beast` number, since 2 + 89 + 0 + 407 + 168 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890407161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1494330 + ... + 1496262.

Almost surely, 2^2890407168 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 2890407168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4625122320).

2890407168 is an abundant number, since it is smaller than the sum of its proper divisors (6359837472).

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

2890407168 is a wasteful number, since it uses less digits than its factorization.

2890407168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2890407168 is about 53762.5070843985. The cubic root of 2890407168 is about 1424.4690202702.

The spelling of 2890407168 in words is "two billion, eight hundred ninety million, four hundred seven thousand, one hundred sixty-eight".