2500253909280 has 192 divisors, whose sum is σ = 8753088597120. Its totient is φ = 666566765568.

The previous prime is 2500253909213. The next prime is 2500253909299. The reversal of 2500253909280 is 829093520052.

2500253909280 is a `hidden beast` number, since 2 + 500 + 2 + 53 + 9 + 0 + 92 + 8 + 0 = 666.

It is a super-2 number, since 2×2500253909280² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17611059 + ... + 17752461.

It is an arithmetic number, because the mean of its divisors is an integer number (45589003110).

Almost surely, 2^{2500253909280} is an apocalyptic number.

2500253909280 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 2500253909280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376544298560).

2500253909280 is an abundant number, since it is smaller than the sum of its proper divisors (6252834687840).

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

2500253909280 is a wasteful number, since it uses less digits than its factorization.

2500253909280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145520 (or 145506 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 2500253909280 in words is "two trillion, five hundred billion, two hundred fifty-three million, nine hundred nine thousand, two hundred eighty".