2961772239664 has 320 divisors, whose sum is σ = 7157601884160. Its totient is φ = 1159228661760.

The previous prime is 2961772239661. The next prime is 2961772239707. The reversal of 2961772239664 is 4669322771692.

2961772239664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2961772239596 and 2961772239605.

It is not an unprimeable number, because it can be changed into a prime (2961772239661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1591494094 + ... + 1591495954.

It is an arithmetic number, because the mean of its divisors is an integer number (22367505888).

Almost surely, 2^{2961772239664} 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 2961772239664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578800942080).

2961772239664 is an abundant number, since it is smaller than the sum of its proper divisors (4195829644496).

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

2961772239664 is a wasteful number, since it uses less digits than its factorization.

2961772239664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2182 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 64.

The spelling of 2961772239664 in words is "two trillion, nine hundred sixty-one billion, seven hundred seventy-two million, two hundred thirty-nine thousand, six hundred sixty-four".