2502927309312 has 480 divisors, whose sum is σ = 7647776136000. Its totient is φ = 816981147648.

The previous prime is 2502927309307. The next prime is 2502927309341. The reversal of 2502927309312 is 2139037292052.

2502927309312 is a `hidden beast` number, since 2 + 5 + 0 + 2 + 9 + 27 + 309 + 312 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2561849368 + ... + 2561850344.

It is an arithmetic number, because the mean of its divisors is an integer number (15932866950).

Almost surely, 2^{2502927309312} 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 2502927309312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823888068000).

2502927309312 is an abundant number, since it is smaller than the sum of its proper divisors (5144848826688).

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

2502927309312 is an frugal number, since it uses more digits than its factorization.

2502927309312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 2502927309312 in words is "two trillion, five hundred two billion, nine hundred twenty-seven million, three hundred nine thousand, three hundred twelve".