2564969706 has 96 divisors (see below), whose sum is σ = 6417808320. Its totient is φ = 754798176.

The previous prime is 2564969647. The next prime is 2564969713. The reversal of 2564969706 is 6079694652.

2564969706 is a `hidden beast` number, since 2 + 564 + 9 + 6 + 9 + 70 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367905 + ... + 374811.

It is an arithmetic number, because the mean of its divisors is an integer number (66852170).

Almost surely, 2^2564969706 is an apocalyptic number.

2564969706 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 2564969706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208904160).

2564969706 is an abundant number, since it is smaller than the sum of its proper divisors (3852838614).

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

2564969706 is a wasteful number, since it uses less digits than its factorization.

2564969706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6977 (or 6948 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 2564969706 is about 50645.5299705709. The cubic root of 2564969706 is about 1368.8654015667.

The spelling of 2564969706 in words is "two billion, five hundred sixty-four million, nine hundred sixty-nine thousand, seven hundred six".