2890240 has 40 divisors (see below), whose sum is σ = 6935940. Its totient is φ = 1155072.

The previous prime is 2890231. The next prime is 2890259. The reversal of 2890240 is 420982.

It can be written as a sum of positive squares in 2 ways, for example, as 2611456 + 278784 = 1616^2 + 528^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1996 + ... + 3124.

2^2890240 is an apocalyptic number.

2890240 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 2890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467970).

2890240 is an abundant number, since it is smaller than the sum of its proper divisors (4045700).

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

2890240 is an equidigital number, since it uses as much as digits as its factorization.

2890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2890240 is about 1700.0705867699. The cubic root of 2890240 is about 142.4441558138. Note that the first 3 decimals are identical.

The spelling of 2890240 in words is "two million, eight hundred ninety thousand, two hundred forty".