2565006080 has 432 divisors, whose sum is σ = 8111605824. Its totient is φ = 756449280.

The previous prime is 2565006079. The next prime is 2565006083. The reversal of 2565006080 is 806005652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2565006083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42049250 + ... + 42049310.

Almost surely, 2^2565006080 is an apocalyptic number.

2565006080 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 2565006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055802912).

2565006080 is an abundant number, since it is smaller than the sum of its proper divisors (5546599744).

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

2565006080 is a wasteful number, since it uses less digits than its factorization.

2565006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 2565006080 is about 50645.8890730531. The cubic root of 2565006080 is about 1368.8718721922.

The spelling of 2565006080 in words is "two billion, five hundred sixty-five million, six thousand, eighty".