2961827466792 has 64 divisors (see below), whose sum is σ = 7590286388160. Its totient is φ = 962545958400.

The previous prime is 2961827466791. The next prime is 2961827466799. The reversal of 2961827466792 is 2976647281692.

It is not an unprimeable number, because it can be changed into a prime (2961827466791) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 444442 + ... + 2474102.

It is an arithmetic number, because the mean of its divisors is an integer number (118598224815).

Almost surely, 2^{2961827466792} 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 2961827466792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795143194080).

2961827466792 is an abundant number, since it is smaller than the sum of its proper divisors (4628458921368).

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

2961827466792 is a wasteful number, since it uses less digits than its factorization.

2961827466792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031194 (or 2031190 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 69.

The spelling of 2961827466792 in words is "two trillion, nine hundred sixty-one billion, eight hundred twenty-seven million, four hundred sixty-six thousand, seven hundred ninety-two".