2506409135280 has 120 divisors (see below), whose sum is σ = 8644853582352. Its totient is φ = 650311552512.

The previous prime is 2506409135233. The next prime is 2506409135309. The reversal of 2506409135280 is 825319046052.

2506409135280 is a `hidden beast` number, since 2 + 50 + 64 + 0 + 9 + 13 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 47015574 + ... + 47068853.

Almost surely, 2^{2506409135280} is an apocalyptic number.

2506409135280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506409135280 is an abundant number, since it is smaller than the sum of its proper divisors (6138444447072).

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

2506409135280 is a wasteful number, since it uses less digits than its factorization.

2506409135280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94084483 (or 94084474 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 2506409135280 in words is "two trillion, five hundred six billion, four hundred nine million, one hundred thirty-five thousand, two hundred eighty".