2890800 has 180 divisors, whose sum is σ = 11093784. Its totient is φ = 691200.

The previous prime is 2890763. The next prime is 2890813. The reversal of 2890800 is 80982.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39564 + ... + 39636.

2^2890800 is an apocalyptic number.

2890800 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 2890800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5546892).

2890800 is an abundant number, since it is smaller than the sum of its proper divisors (8202984).

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

2890800 is a wasteful number, since it uses less digits than its factorization.

2890800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2890800 is about 1700.2352778366. The cubic root of 2890800 is about 142.4533550010.

The spelling of 2890800 in words is "two million, eight hundred ninety thousand, eight hundred".