2565986500 has 288 divisors, whose sum is σ = 7222295808. Its totient is φ = 779328000.

The previous prime is 2565986471. The next prime is 2565986543. The reversal of 2565986500 is 56895652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30915459 + ... + 30915541.

It is an arithmetic number, because the mean of its divisors is an integer number (25077416).

Almost surely, 2^2565986500 is an apocalyptic number.

2565986500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565986500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611147904).

2565986500 is an abundant number, since it is smaller than the sum of its proper divisors (4656309308).

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

2565986500 is a wasteful number, since it uses less digits than its factorization.

2565986500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 46.

The square root of 2565986500 is about 50655.5673149556. The cubic root of 2565986500 is about 1369.0462575364.

The spelling of 2565986500 in words is "two billion, five hundred sixty-five million, nine hundred eighty-six thousand, five hundred".