2560829465250 has 512 divisors, whose sum is σ = 8329263022080. Its totient is φ = 570048192000.

The previous prime is 2560829465191. The next prime is 2560829465261. The reversal of 2560829465250 is 525649280652.

It is a happy number.

2560829465250 is a `hidden beast` number, since 2 + 5 + 608 + 2 + 9 + 4 + 6 + 5 + 25 + 0 = 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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1873320067 + ... + 1873321433.

It is an arithmetic number, because the mean of its divisors is an integer number (16268091840).

Almost surely, 2^{2560829465250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2560829465250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164631511040).

2560829465250 is an abundant number, since it is smaller than the sum of its proper divisors (5768433556830).

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

2560829465250 is a wasteful number, since it uses less digits than its factorization.

2560829465250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 2560829465250 in words is "two trillion, five hundred sixty billion, eight hundred twenty-nine million, four hundred sixty-five thousand, two hundred fifty".