2505072148992 has 240 divisors, whose sum is σ = 8431268102400. Its totient is φ = 715734448128.

The previous prime is 2505072148979. The next prime is 2505072149003. The reversal of 2505072148992 is 2998412705052.

2505072148992 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 0 + 72 + 1 + 489 + 92 = 666.

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, 788073 + ... + 2373015.

It is an arithmetic number, because the mean of its divisors is an integer number (35130283760).

Almost surely, 2^{2505072148992} 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 2505072148992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215634051200).

2505072148992 is an abundant number, since it is smaller than the sum of its proper divisors (5926195953408).

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

2505072148992 is an equidigital number, since it uses as much as digits as its factorization.

2505072148992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584988 (or 1584955 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 2505072148992 in words is "two trillion, five hundred five billion, seventy-two million, one hundred forty-eight thousand, nine hundred ninety-two".