2501363888640 has 480 divisors, whose sum is σ = 9057678664320. Its totient is φ = 637957545984.

The previous prime is 2501363888629. The next prime is 2501363888687. The reversal of 2501363888640 is 468883631052.

2501363888640 is a `hidden beast` number, since 2 + 50 + 136 + 388 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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, 280323219 + ... + 280332141.

It is an arithmetic number, because the mean of its divisors is an integer number (18870163884).

Almost surely, 2^{2501363888640} is an apocalyptic number.

2501363888640 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 2501363888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528839332160).

2501363888640 is an abundant number, since it is smaller than the sum of its proper divisors (6556314775680).

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

2501363888640 is an frugal number, since it uses more digits than its factorization.

2501363888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9021 (or 8956 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2501363888640 in words is "two trillion, five hundred one billion, three hundred sixty-three million, eight hundred eighty-eight thousand, six hundred forty".