2968064640 has 128 divisors (see below), whose sum is σ = 10511956800. Its totient is φ = 791479296.

The previous prime is 2968064623. The next prime is 2968064657. The reversal of 2968064640 is 464608692.

It is an interprime number because it is at equal distance from previous prime (2968064623) and next prime (2968064657).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68602 + ... + 103161.

Almost surely, 2^2968064640 is an apocalyptic number.

2968064640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2968064640 is an abundant number, since it is smaller than the sum of its proper divisors (7543892160).

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

2968064640 is a wasteful number, since it uses less digits than its factorization.

2968064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171791 (or 171773 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2968064640 is about 54479.9471365382. The cubic root of 2968064640 is about 1437.1136629337.

The spelling of 2968064640 in words is "two billion, nine hundred sixty-eight million, sixty-four thousand, six hundred forty".