2568240 has 160 divisors (see below), whose sum is σ = 9374400. Its totient is φ = 645120.

The previous prime is 2568239. The next prime is 2568253. The reversal of 2568240 is 428652.

2568240 = T₁₁₁ + T₁₁₂ + ... + T₂₅₅.

2568240 = 230² + 231² + ... + 270².

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62620 + ... + 62660.

It is an arithmetic number, because the mean of its divisors is an integer number (58590).

2^2568240 is an apocalyptic number.

2568240 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 2568240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687200).

2568240 is an abundant number, since it is smaller than the sum of its proper divisors (6806160).

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

2568240 is a wasteful number, since it uses less digits than its factorization.

2568240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2568240 is about 1602.5729312577. The cubic root of 2568240 is about 136.9446914754.

It can be divided in two parts, 25 and 68240, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 2568240 in words is "two million, five hundred sixty-eight thousand, two hundred forty".