2960345640 has 256 divisors, whose sum is σ = 10741248000. Its totient is φ = 638060544.

The previous prime is 2960345629. The next prime is 2960345669. The reversal of 2960345640 is 465430692.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1409311 + ... + 1411409.

It is an arithmetic number, because the mean of its divisors is an integer number (41958000).

Almost surely, 2^2960345640 is an apocalyptic number.

2960345640 is a gapful number since it is divisible by the number (20) 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 2960345640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370624000).

2960345640 is an abundant number, since it is smaller than the sum of its proper divisors (7780902360).

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

2960345640 is a wasteful number, since it uses less digits than its factorization.

2960345640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 2960345640 is about 54409.0584369919. The cubic root of 2960345640 is about 1435.8667549130.

The spelling of 2960345640 in words is "two billion, nine hundred sixty million, three hundred forty-five thousand, six hundred forty".