2975778011232 has 768 divisors, whose sum is σ = 10431680716800. Its totient is φ = 816696483840.

The previous prime is 2975778011161. The next prime is 2975778011267. The reversal of 2975778011232 is 2321108775792.

2975778011232 is a `hidden beast` number, since 29 + 7 + 577 + 8 + 0 + 1 + 12 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 244772898 + ... + 244785054.

It is an arithmetic number, because the mean of its divisors is an integer number (13582917600).

Almost surely, 2^{2975778011232} 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 2975778011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5215840358400).

2975778011232 is an abundant number, since it is smaller than the sum of its proper divisors (7455902705568).

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

2975778011232 is a wasteful number, since it uses less digits than its factorization.

2975778011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12276 (or 12262 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 2975778011232 in words is "two trillion, nine hundred seventy-five billion, seven hundred seventy-eight million, eleven thousand, two hundred thirty-two".