2890400 has 36 divisors (see below), whose sum is σ = 7058142. Its totient is φ = 1155840.

The previous prime is 2890399. The next prime is 2890411. The reversal of 2890400 is 40982.

It can be written as a sum of positive squares in 3 ways, for example, as 1073296 + 1817104 = 1036^2 + 1348^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1007 + ... + 2606.

2^2890400 is an apocalyptic number.

2890400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2890400 is an abundant number, since it is smaller than the sum of its proper divisors (4167742).

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

2890400 is a wasteful number, since it uses less digits than its factorization.

2890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3620 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2890400 is about 1700.1176429883. The cubic root of 2890400 is about 142.4467842743.

The spelling of 2890400 in words is "two million, eight hundred ninety thousand, four hundred".