2565387396 has 192 divisors, whose sum is σ = 7997552640. Its totient is φ = 700721280.

The previous prime is 2565387337. The next prime is 2565387403. The reversal of 2565387396 is 6937835652.

It is a happy number.

2565387396 is a `hidden beast` number, since 2 + 565 + 3 + 8 + 73 + 9 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 662161 + ... + 666023.

It is an arithmetic number, because the mean of its divisors is an integer number (41653920).

Almost surely, 2^2565387396 is an apocalyptic number.

2565387396 is a gapful number since it is divisible by the number (26) 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 2565387396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998776320).

2565387396 is an abundant number, since it is smaller than the sum of its proper divisors (5432165244).

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

2565387396 is a wasteful number, since it uses less digits than its factorization.

2565387396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3935 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The square root of 2565387396 is about 50649.6534637701. The cubic root of 2565387396 is about 1368.9397013859.

The spelling of 2565387396 in words is "two billion, five hundred sixty-five million, three hundred eighty-seven thousand, three hundred ninety-six".