2564408 has 64 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 950400.

The previous prime is 2564407. The next prime is 2564423. The reversal of 2564408 is 8044652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14078 + ... + 14258.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

2^2564408 is an apocalyptic number.

2564408 is a gapful number since it is divisible by the number (28) 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 2564408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

2564408 is an abundant number, since it is smaller than the sum of its proper divisors (3725512).

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

2564408 is a wasteful number, since it uses less digits than its factorization.

2564408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 224 counting only the distinct ones).

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

The square root of 2564408 is about 1601.3769075393. The cubic root of 2564408 is about 136.8765471076.

It can be divided in two parts, 256 and 4408, that added together give a palindrome (4664).

The spelling of 2564408 in words is "two million, five hundred sixty-four thousand, four hundred eight".