2506943388888 has 256 divisors, whose sum is σ = 7084162800000. Its totient is φ = 821350139904.

The previous prime is 2506943388871. The next prime is 2506943388913. The reversal of 2506943388888 is 8888833496052.

2506943388888 is a `hidden beast` number, since 2 + 50 + 6 + 94 + 338 + 88 + 88 = 666.

2506943388888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1583333²-1.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1754333358 + ... + 1754334786.

Almost surely, 2^{2506943388888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506943388888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542081400000).

2506943388888 is an abundant number, since it is smaller than the sum of its proper divisors (4577219411112).

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

2506943388888 is a wasteful number, since it uses less digits than its factorization.

2506943388888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 2506943388888 in words is "two trillion, five hundred six billion, nine hundred forty-three million, three hundred eighty-eight thousand, eight hundred eighty-eight".