2564857386 has 160 divisors (see below), whose sum is σ = 7446552960. Its totient is φ = 640773504.

The previous prime is 2564857369. The next prime is 2564857387. The reversal of 2564857386 is 6837584652.

2564857386 is a `hidden beast` number, since 2 + 5 + 64 + 8 + 573 + 8 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2564857387) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 275520 + ... + 284676.

It is an arithmetic number, because the mean of its divisors is an integer number (46540956).

Almost surely, 2^2564857386 is an apocalyptic number.

2564857386 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564857386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723276480).

2564857386 is an abundant number, since it is smaller than the sum of its proper divisors (4881695574).

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

2564857386 is a wasteful number, since it uses less digits than its factorization.

2564857386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9210 (or 9201 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 2564857386 is about 50644.4210747837. The cubic root of 2564857386 is about 1368.8454204072.

The spelling of 2564857386 in words is "two billion, five hundred sixty-four million, eight hundred fifty-seven thousand, three hundred eighty-six".