2890093712 has 60 divisors (see below), whose sum is σ = 6191179260. Its totient is φ = 1305934080.

The previous prime is 2890093697. The next prime is 2890093733. The reversal of 2890093712 is 2173900982.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2445895936 + 444197776 = 49456^2 + 21076^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2890093712.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330614 + ... + 339242.

It is an arithmetic number, because the mean of its divisors is an integer number (103186321).

Almost surely, 2^2890093712 is an apocalyptic number.

2890093712 is a gapful number since it is divisible by the number (22) 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 2890093712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095589630).

2890093712 is an abundant number, since it is smaller than the sum of its proper divisors (3301085548).

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

2890093712 is a wasteful number, since it uses less digits than its factorization.

2890093712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8832 (or 8815 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 2890093712 is about 53759.5918139266. The cubic root of 2890093712 is about 1424.4175252758.

The spelling of 2890093712 in words is "two billion, eight hundred ninety million, ninety-three thousand, seven hundred twelve".