2503891568640 has 1536 divisors, whose sum is σ = 10361762611200. Its totient is φ = 501149859840.

The previous prime is 2503891568609. The next prime is 2503891568669. The reversal of 2503891568640 is 468651983052.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10476533641 + ... + 10476533879.

It is an arithmetic number, because the mean of its divisors is an integer number (6745939200).

Almost surely, 2^{2503891568640} is an apocalyptic number.

2503891568640 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 2503891568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180881305600).

2503891568640 is an abundant number, since it is smaller than the sum of its proper divisors (7857871042560).

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

2503891568640 is a wasteful number, since it uses less digits than its factorization.

2503891568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 2503891568640 in words is "two trillion, five hundred three billion, eight hundred ninety-one million, five hundred sixty-eight thousand, six hundred forty".