2962006960 has 40 divisors (see below), whose sum is σ = 7512728976. Its totient is φ = 1077093120.

The previous prime is 2962006939. The next prime is 2962006981. The reversal of 2962006960 is 696002692.

It is an interprime number because it is at equal distance from previous prime (2962006939) and next prime (2962006981).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 1682079 + ... + 1683838.

Almost surely, 2^2962006960 is an apocalyptic number.

2962006960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2962006960 is an abundant number, since it is smaller than the sum of its proper divisors (4550722016).

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

2962006960 is a wasteful number, since it uses less digits than its factorization.

2962006960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365941 (or 3365935 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 2962006960 is about 54424.3232387873. The cubic root of 2962006960 is about 1436.1353032919.

The spelling of 2962006960 in words is "two billion, nine hundred sixty-two million, six thousand, nine hundred sixty".