2564710000 has 50 divisors (see below), whose sum is σ = 6209443592. Its totient is φ = 1025880000.

The previous prime is 2564709977. The next prime is 2564710021. The reversal of 2564710000 is 174652.

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-3 number, since 3×2564710000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 9 ways as a sum of consecutive naturals, for example, 118236 + ... + 138235.

Almost surely, 2^2564710000 is an apocalyptic number.

2564710000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564710000 is an abundant number, since it is smaller than the sum of its proper divisors (3644733592).

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

2564710000 is an equidigital number, since it uses as much as digits as its factorization.

2564710000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256499 (or 256478 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 2564710000 is about 50642.9659478984. The cubic root of 2564710000 is about 1368.8192002989.

Adding to 2564710000 its reverse (174652), we get a palindrome (2564884652).

The spelling of 2564710000 in words is "two billion, five hundred sixty-four million, seven hundred ten thousand".