2509560893952 has 1280 divisors, whose sum is σ = 9277120512000. Its totient is φ = 667188264960.

The previous prime is 2509560893897. The next prime is 2509560893971. The reversal of 2509560893952 is 2593980659052.

2509560893952 is a `hidden beast` number, since 25 + 0 + 95 + 60 + 89 + 395 + 2 = 666.

It is a super-2 number, since 2×2509560893952² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2509560893952.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13139062177 + ... + 13139062367.

It is an arithmetic number, because the mean of its divisors is an integer number (7247750400).

Almost surely, 2^{2509560893952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509560893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638560256000).

2509560893952 is an abundant number, since it is smaller than the sum of its proper divisors (6767559618048).

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

2509560893952 is a wasteful number, since it uses less digits than its factorization.

2509560893952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 63.

The spelling of 2509560893952 in words is "two trillion, five hundred nine billion, five hundred sixty million, eight hundred ninety-three thousand, nine hundred fifty-two".