2564244320 has 96 divisors (see below), whose sum is σ = 6643879200. Its totient is φ = 927498240.

The previous prime is 2564244289. The next prime is 2564244341. The reversal of 2564244320 is 234424652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335906 + ... + 343454.

It is an arithmetic number, because the mean of its divisors is an integer number (69207075).

Almost surely, 2^2564244320 is an apocalyptic number.

2564244320 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 2564244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321939600).

2564244320 is an abundant number, since it is smaller than the sum of its proper divisors (4079634880).

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

2564244320 is a wasteful number, since it uses less digits than its factorization.

2564244320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7768 (or 7760 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The square root of 2564244320 is about 50638.3680621720. The cubic root of 2564244320 is about 1368.7363487862.

Adding to 2564244320 its reverse (234424652), we get a palindrome (2798668972).

The spelling of 2564244320 in words is "two billion, five hundred sixty-four million, two hundred forty-four thousand, three hundred twenty".