2540864 has 42 divisors (see below), whose sum is σ = 5360670. Its totient is φ = 1193472.

The previous prime is 2540849. The next prime is 2540869. The reversal of 2540864 is 4680452.

It can be written as a sum of positive squares in 3 ways, for example, as 1459264 + 1081600 = 1208^2 + 1040^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540869) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 68654 + ... + 68690.

It is an arithmetic number, because the mean of its divisors is an integer number (127635).

2^2540864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680335).

2540864 is an abundant number, since it is smaller than the sum of its proper divisors (2819806).

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

2540864 is an equidigital number, since it uses as much as digits as its factorization.

2540864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 2540864 is about 1594.0087829118. The cubic root of 2540864 is about 136.4563676866.

Multiplying 2540864 by its sum of digits (29), we get a square (73685056 = 8584²).

2540864 divided by its sum of digits (29) gives a square (87616 = 296²).

The spelling of 2540864 in words is "two million, five hundred forty thousand, eight hundred sixty-four".