2966372138088 has 320 divisors, whose sum is σ = 8766630512640. Its totient is φ = 935267389056.

The previous prime is 2966372138077. The next prime is 2966372138143. The reversal of 2966372138088 is 8808312736692.

2966372138088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2000250195 + ... + 2000251677.

It is an arithmetic number, because the mean of its divisors is an integer number (27395720352).

Almost surely, 2^{2966372138088} 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 2966372138088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383315256320).

2966372138088 is an abundant number, since it is smaller than the sum of its proper divisors (5800258374552).

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

2966372138088 is a wasteful number, since it uses less digits than its factorization.

2966372138088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 2966372138088 in words is "two trillion, nine hundred sixty-six billion, three hundred seventy-two million, one hundred thirty-eight thousand, eighty-eight".