2890952064 has 768 divisors, whose sum is σ = 11762150400. Its totient is φ = 656916480.

The previous prime is 2890952063. The next prime is 2890952069. The reversal of 2890952064 is 4602590982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890952063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26522442 + ... + 26522550.

It is an arithmetic number, because the mean of its divisors is an integer number (15315300).

Almost surely, 2^2890952064 is an apocalyptic number.

2890952064 is a gapful number since it is divisible by the number (24) 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 2890952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881075200).

2890952064 is an abundant number, since it is smaller than the sum of its proper divisors (8871198336).

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

2890952064 is a wasteful number, since it uses less digits than its factorization.

2890952064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2890952064 is about 53767.5744664012. The cubic root of 2890952064 is about 1424.5585276943.

The spelling of 2890952064 in words is "two billion, eight hundred ninety million, nine hundred fifty-two thousand, sixty-four".