2565517002048 has 896 divisors, whose sum is σ = 10252094791680. Its totient is φ = 615075379200.

The previous prime is 2565517002043. The next prime is 2565517002079. The reversal of 2565517002048 is 8402007155652.

2565517002048 is a `hidden beast` number, since 2 + 5 + 6 + 551 + 70 + 0 + 20 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2565517001994 and 2565517002012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565517002043) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 140098813 + ... + 140117123.

It is an arithmetic number, because the mean of its divisors is an integer number (11442070080).

Almost surely, 2^{2565517002048} is an apocalyptic number.

2565517002048 is a gapful number since it is divisible by the number (28) 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 2565517002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5126047395840).

2565517002048 is an abundant number, since it is smaller than the sum of its proper divisors (7686577789632).

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

2565517002048 is a wasteful number, since it uses less digits than its factorization.

2565517002048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18375 (or 18347 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 2565517002048 in words is "two trillion, five hundred sixty-five billion, five hundred seventeen million, two thousand, forty-eight".