2501126584320 has 2304 divisors, whose sum is σ = 10930308480000. Its totient is φ = 483809034240.

The previous prime is 2501126584291. The next prime is 2501126584321. The reversal of 2501126584320 is 234856211052.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2501126584321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80681502705 + ... + 80681502735.

It is an arithmetic number, because the mean of its divisors is an integer number (4744057500).

Almost surely, 2^{2501126584320} is an apocalyptic number.

2501126584320 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 2501126584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465154240000).

2501126584320 is an abundant number, since it is smaller than the sum of its proper divisors (8429181895680).

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

2501126584320 is a wasteful number, since it uses less digits than its factorization.

2501126584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 2501126584320 in words is "two trillion, five hundred one billion, one hundred twenty-six million, five hundred eighty-four thousand, three hundred twenty".