2501928000000 has 2240 divisors, whose sum is σ = 11009896571520. Its totient is φ = 559872000000.

The previous prime is 2501927999983. The next prime is 2501928000031. The reversal of 2501928000000 is 8291052.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 192455999994 + ... + 192456000006.

It is an arithmetic number, because the mean of its divisors is an integer number (4915132398).

Almost surely, 2^{2501928000000} is an apocalyptic number.

2501928000000 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 2501928000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504948285760).

2501928000000 is an abundant number, since it is smaller than the sum of its proper divisors (8507968571520).

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

2501928000000 is an frugal number, since it uses more digits than its factorization.

2501928000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 2501928000000 in words is "two trillion, five hundred one billion, nine hundred twenty-eight million", and thus it is an aban number.