2514880902000 has 160 divisors (see below), whose sum is σ = 8111169780480. Its totient is φ = 670370745600.

The previous prime is 2514880901993. The next prime is 2514880902047. The reversal of 2514880902000 is 2090884152.

It is a self number, because there is not a number n which added to its sum of digits gives 2514880902000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15392739 + ... + 15555261.

It is an arithmetic number, because the mean of its divisors is an integer number (50694811128).

Almost surely, 2^{2514880902000} is an apocalyptic number.

2514880902000 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 2514880902000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055584890240).

2514880902000 is an abundant number, since it is smaller than the sum of its proper divisors (5596288878480).

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

2514880902000 is a wasteful number, since it uses less digits than its factorization.

2514880902000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165128 (or 165112 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 2514880902000 in words is "two trillion, five hundred fourteen billion, eight hundred eighty million, nine hundred two thousand".