2565930960 has 200 divisors, whose sum is σ = 8944784640. Its totient is φ = 681723648.

The previous prime is 2565930949. The next prime is 2565930979. The reversal of 2565930960 is 690395652.

2565930960 is a `hidden beast` number, since 2 + 56 + 593 + 0 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2325769 + ... + 2326871.

Almost surely, 2^2565930960 is an apocalyptic number.

2565930960 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 2565930960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472392320).

2565930960 is an abundant number, since it is smaller than the sum of its proper divisors (6378853680).

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

2565930960 is a wasteful number, since it uses less digits than its factorization.

2565930960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 2565930960 is about 50655.0190997891. The cubic root of 2565930960 is about 1369.0363799347.

The spelling of 2565930960 in words is "two billion, five hundred sixty-five million, nine hundred thirty thousand, nine hundred sixty".