2564940 has 96 divisors (see below), whose sum is σ = 8515584. Its totient is φ = 564480.

The previous prime is 2564921. The next prime is 2564957. The reversal of 2564940 is 494652.

2564940 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2564898 and 2564907.

It is a congruent number.

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, 12922 + ... + 13118.

It is an arithmetic number, because the mean of its divisors is an integer number (88704).

2^2564940 is an apocalyptic number.

2564940 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 2564940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257792).

2564940 is an abundant number, since it is smaller than the sum of its proper divisors (5950644).

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

2564940 is a wasteful number, since it uses less digits than its factorization.

2564940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2564940 is about 1601.5430059789. The cubic root of 2564940 is about 136.8860117076.

The spelling of 2564940 in words is "two million, five hundred sixty-four thousand, nine hundred forty".