2890883520 has 672 divisors, whose sum is σ = 12142061568. Its totient is φ = 640991232.

The previous prime is 2890883477. The next prime is 2890883537. The reversal of 2890883520 is 253880982.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 25582984 + ... + 25583096.

It is an arithmetic number, because the mean of its divisors is an integer number (18068544).

Almost surely, 2^2890883520 is an apocalyptic number.

2890883520 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 2890883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071030784).

2890883520 is an abundant number, since it is smaller than the sum of its proper divisors (9251178048).

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

2890883520 is a wasteful number, since it uses less digits than its factorization.

2890883520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2890883520 is about 53766.9370524303. The cubic root of 2890883520 is about 1424.5472689222.

The spelling of 2890883520 in words is "two billion, eight hundred ninety million, eight hundred eighty-three thousand, five hundred twenty".