2890990080 has 720 divisors, whose sum is σ = 11843663832. Its totient is φ = 648806400.

The previous prime is 2890990051. The next prime is 2890990111. The reversal of 2890990080 is 800990982.

It can be written as a sum of positive squares in 4 ways, for example, as 1920542976 + 970447104 = 43824^2 + 31152^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47393250 + ... + 47393310.

Almost surely, 2^2890990080 is an apocalyptic number.

2890990080 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 2890990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5921831916).

2890990080 is an abundant number, since it is smaller than the sum of its proper divisors (8952673752).

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

2890990080 is a wasteful number, since it uses less digits than its factorization.

2890990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 2890990080 is about 53767.9279868585. The cubic root of 2890990080 is about 1424.5647719786.

The spelling of 2890990080 in words is "two billion, eight hundred ninety million, nine hundred ninety thousand, eighty".