2506799232000 has 2112 divisors, whose sum is σ = 10956102094080. Its totient is φ = 563576832000.

The previous prime is 2506799231969. The next prime is 2506799232013. The reversal of 2506799232000 is 2329976052.

It is a happy number.

2506799232000 is a `hidden beast` number, since 250 + 6 + 79 + 9 + 2 + 320 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19135871935 + ... + 19135872065.

It is an arithmetic number, because the mean of its divisors is an integer number (5187548340).

Almost surely, 2^{2506799232000} is an apocalyptic number.

2506799232000 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 2506799232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5478051047040).

2506799232000 is an abundant number, since it is smaller than the sum of its proper divisors (8449302862080).

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

2506799232000 is a wasteful number, since it uses less digits than its factorization.

2506799232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 2506799232000 in words is "two trillion, five hundred six billion, seven hundred ninety-nine million, two hundred thirty-two thousand".