2564193792 has 160 divisors (see below), whose sum is σ = 7369528320. Its totient is φ = 789626880.

The previous prime is 2564193787. The next prime is 2564193803. The reversal of 2564193792 is 2973914652.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1195473 + ... + 1197615.

It is an arithmetic number, because the mean of its divisors is an integer number (46059552).

Almost surely, 2^2564193792 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 2564193792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684764160).

2564193792 is an abundant number, since it is smaller than the sum of its proper divisors (4805334528).

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

2564193792 is a wasteful number, since it uses less digits than its factorization.

2564193792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2208 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 2564193792 is about 50637.8691494814. The cubic root of 2564193792 is about 1368.7273584879.

The spelling of 2564193792 in words is "two billion, five hundred sixty-four million, one hundred ninety-three thousand, seven hundred ninety-two".