2890363392 has 480 divisors, whose sum is σ = 10579947840. Its totient is φ = 774144000.

The previous prime is 2890363363. The next prime is 2890363393. The reversal of 2890363392 is 2933630982.

2890363392 is a `hidden beast` number, since 2 + 8 + 9 + 0 + 3 + 633 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2890363393) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11515267 + ... + 11515517.

It is an arithmetic number, because the mean of its divisors is an integer number (22041558).

Almost surely, 2^2890363392 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 2890363392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289973920).

2890363392 is an abundant number, since it is smaller than the sum of its proper divisors (7689584448).

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

2890363392 is a wasteful number, since it uses less digits than its factorization.

2890363392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 2890363392 is about 53762.0999589860. The cubic root of 2890363392 is about 1424.4618289107.

The spelling of 2890363392 in words is "two billion, eight hundred ninety million, three hundred sixty-three thousand, three hundred ninety-two".