2590240 has 24 divisors (see below), whose sum is σ = 6119820. Its totient is φ = 1036032.

The previous prime is 2590223. The next prime is 2590249. The reversal of 2590240 is 420952.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2572816 + 17424 = 1604^2 + 132^2 .

It is not an unprimeable number, because it can be changed into a prime (2590249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7935 + ... + 8254.

2^2590240 is an apocalyptic number.

2590240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2590240 is an abundant number, since it is smaller than the sum of its proper divisors (3529580).

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

2590240 is a wasteful number, since it uses less digits than its factorization.

2590240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16204 (or 16196 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2590240 is about 1609.4222565877. The cubic root of 2590240 is about 137.3346110626.

It can be divided in two parts, 25902 and 40, that multiplied together give a triangular number (1036080 = T₁₄₃₉).

The spelling of 2590240 in words is "two million, five hundred ninety thousand, two hundred forty".