2502945074880 has 280 divisors, whose sum is σ = 8905427535312. Its totient is φ = 667301234688.

The previous prime is 2502945074869. The next prime is 2502945074897. The reversal of 2502945074880 is 884705492052.

2502945074880 is a `hidden beast` number, since 2 + 5 + 0 + 2 + 94 + 507 + 48 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159996339 + ... + 160011981.

Almost surely, 2^{2502945074880} is an apocalyptic number.

2502945074880 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 2502945074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452713767656).

2502945074880 is an abundant number, since it is smaller than the sum of its proper divisors (6402482460432).

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

2502945074880 is a wasteful number, since it uses less digits than its factorization.

2502945074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21845 (or 21826 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 2502945074880 in words is "two trillion, five hundred two billion, nine hundred forty-five million, seventy-four thousand, eight hundred eighty".