2512956948480 has 960 divisors, whose sum is σ = 9940289673600. Its totient is φ = 581330534400.

The previous prime is 2512956948479. The next prime is 2512956948521. The reversal of 2512956948480 is 848496592152.

2512956948480 is a `hidden beast` number, since 2 + 5 + 1 + 2 + 95 + 69 + 4 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 5969018670 + ... + 5969019090.

It is an arithmetic number, because the mean of its divisors is an integer number (10354468410).

Almost surely, 2^{2512956948480} is an apocalyptic number.

2512956948480 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 2512956948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970144836800).

2512956948480 is an abundant number, since it is smaller than the sum of its proper divisors (7427332725120).

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

2512956948480 is an equidigital number, since it uses as much as digits as its factorization.

2512956948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 2512956948480 in words is "two trillion, five hundred twelve billion, nine hundred fifty-six million, nine hundred forty-eight thousand, four hundred eighty".