2564994870 has 192 divisors, whose sum is σ = 7491225600. Its totient is φ = 622157760.

The previous prime is 2564994841. The next prime is 2564994911. The reversal of 2564994870 is 784994652.

2564994870 is a `hidden beast` number, since 2 + 564 + 9 + 9 + 4 + 8 + 70 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20196747 + ... + 20196873.

It is an arithmetic number, because the mean of its divisors is an integer number (39016800).

Almost surely, 2^2564994870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564994870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745612800).

2564994870 is an abundant number, since it is smaller than the sum of its proper divisors (4926230730).

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

2564994870 is a wasteful number, since it uses less digits than its factorization.

2564994870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2564994870 is about 50645.7784025480. The cubic root of 2564994870 is about 1368.8698780350.

The spelling of 2564994870 in words is "two billion, five hundred sixty-four million, nine hundred ninety-four thousand, eight hundred seventy".