2564320 has 96 divisors (see below), whose sum is σ = 6967296. Its totient is φ = 883200.

The previous prime is 2564279. The next prime is 2564321. The reversal of 2564320 is 234652.

2564320 = T₁₈₅ + T₁₈₆ + ... + T₂₇₈.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2564291 and 2564300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564321) 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, 54537 + ... + 54583.

It is an arithmetic number, because the mean of its divisors is an integer number (72576).

2^2564320 is an apocalyptic number.

2564320 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 2564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483648).

2564320 is an abundant number, since it is smaller than the sum of its proper divisors (4402976).

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

2564320 is a wasteful number, since it uses less digits than its factorization.

2564320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2564320 is about 1601.3494309488. The cubic root of 2564320 is about 136.8749814085.

Adding to 2564320 its reverse (234652), we get a palindrome (2798972).

The spelling of 2564320 in words is "two million, five hundred sixty-four thousand, three hundred twenty".