2961376864 has 48 divisors (see below), whose sum is σ = 5987411136. Its totient is φ = 1440947200.

The previous prime is 2961376853. The next prime is 2961376867. The reversal of 2961376864 is 4686731692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2961376867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 562854 + ... + 568090.

It is an arithmetic number, because the mean of its divisors is an integer number (124737732).

Almost surely, 2^2961376864 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 2961376864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993705568).

2961376864 is an abundant number, since it is smaller than the sum of its proper divisors (3026034272).

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

2961376864 is a wasteful number, since it uses less digits than its factorization.

2961376864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5719 (or 5711 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 52.

The square root of 2961376864 is about 54418.5341956213. The cubic root of 2961376864 is about 1436.0334616132.

The spelling of 2961376864 in words is "two billion, nine hundred sixty-one million, three hundred seventy-six thousand, eight hundred sixty-four".