2564122232 has 64 divisors (see below), whose sum is σ = 5693068800. Its totient is φ = 1059327360.

The previous prime is 2564122229. The next prime is 2564122289. The reversal of 2564122232 is 2322214652.

2564122232 is digitally balanced in base 2, 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 (29).

It is a junction number, because it is equal to n+sod(n) for n = 2564122195 and 2564122204.

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, 1985507 + ... + 1986797.

It is an arithmetic number, because the mean of its divisors is an integer number (88954200).

Almost surely, 2^2564122232 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 2564122232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846534400).

2564122232 is an abundant number, since it is smaller than the sum of its proper divisors (3128946568).

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

2564122232 is a wasteful number, since it uses less digits than its factorization.

2564122232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2552 counting only the distinct ones).

The product of its digits is 11520, while the sum is 29.

The square root of 2564122232 is about 50637.1625587374. The cubic root of 2564122232 is about 1368.7146258256.

Adding to 2564122232 its reverse (2322214652), we get a palindrome (4886336884).

The spelling of 2564122232 in words is "two billion, five hundred sixty-four million, one hundred twenty-two thousand, two hundred thirty-two".