2506993030080 has 2688 divisors, whose sum is σ = 12299999662080. Its totient is φ = 452347822080.

The previous prime is 2506993030049. The next prime is 2506993030081. The reversal of 2506993030080 is 800303996052.

2506993030080 is a `hidden beast` number, since 2 + 506 + 9 + 9 + 30 + 30 + 0 + 80 = 666.

2506993030080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506993030081) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2514536142 + ... + 2514537138.

Almost surely, 2^{2506993030080} is an apocalyptic number.

2506993030080 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 2506993030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6149999831040).

2506993030080 is an abundant number, since it is smaller than the sum of its proper divisors (9793006632000).

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

2506993030080 is a wasteful number, since it uses less digits than its factorization.

2506993030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 2506993030080 in words is "two trillion, five hundred six billion, nine hundred ninety-three million, thirty thousand, eighty".