2965464768 has 224 divisors, whose sum is σ = 9591105024. Its totient is φ = 789331968.

The previous prime is 2965464757. The next prime is 2965464779. The reversal of 2965464768 is 8674645692.

It is an interprime number because it is at equal distance from previous prime (2965464757) and next prime (2965464779).

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2444130 + ... + 2445342.

Almost surely, 2^2965464768 is an apocalyptic number.

2965464768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2965464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4795552512).

2965464768 is an abundant number, since it is smaller than the sum of its proper divisors (6625640256).

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

2965464768 is a wasteful number, since it uses less digits than its factorization.

2965464768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1349 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 57.

The square root of 2965464768 is about 54456.0810929321. The cubic root of 2965464768 is about 1436.6939277980.

The spelling of 2965464768 in words is "two billion, nine hundred sixty-five million, four hundred sixty-four thousand, seven hundred sixty-eight".