2525134908240 has 960 divisors, whose sum is σ = 10240484567040. Its totient is φ = 566344120320.

The previous prime is 2525134908209. The next prime is 2525134908277. The reversal of 2525134908240 is 428094315252.

2525134908240 is a `hidden beast` number, since 2 + 5 + 2 + 513 + 4 + 90 + 8 + 2 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3820173510 + ... + 3820174170.

It is an arithmetic number, because the mean of its divisors is an integer number (10667171424).

Almost surely, 2^{2525134908240} is an apocalyptic number.

2525134908240 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 2525134908240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120242283520).

2525134908240 is an abundant number, since it is smaller than the sum of its proper divisors (7715349658800).

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

2525134908240 is a wasteful number, since it uses less digits than its factorization.

2525134908240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2525134908240 in words is "two trillion, five hundred twenty-five billion, one hundred thirty-four million, nine hundred eight thousand, two hundred forty".