2564709750 has 256 divisors, whose sum is σ = 7423902720. Its totient is φ = 654825600.

The previous prime is 2564709713. The next prime is 2564709751. The reversal of 2564709750 is 579074652.

It is a super-2 number, since 2×2564709750² = 13155472203490125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2564709696 and 2564709705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564709751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23969197 + ... + 23969303.

It is an arithmetic number, because the mean of its divisors is an integer number (28999620).

Almost surely, 2^2564709750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564709750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711951360).

2564709750 is an abundant number, since it is smaller than the sum of its proper divisors (4859192970).

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

2564709750 is a wasteful number, since it uses less digits than its factorization.

2564709750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 2564709750 is about 50642.9634796385. The cubic root of 2564709750 is about 1368.8191558228.

The spelling of 2564709750 in words is "two billion, five hundred sixty-four million, seven hundred nine thousand, seven hundred fifty".