2968002768 has 40 divisors (see below), whose sum is σ = 8070887200. Its totient is φ = 937263744.

The previous prime is 2968002757. The next prime is 2968002769. The reversal of 2968002768 is 8672008692.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968002769) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1626283 + ... + 1628106.

It is an arithmetic number, because the mean of its divisors is an integer number (201772180).

Almost surely, 2^2968002768 is an apocalyptic number.

It is an amenable number.

2968002768 is an abundant number, since it is smaller than the sum of its proper divisors (5102884432).

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

2968002768 is a wasteful number, since it uses less digits than its factorization.

2968002768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254419 (or 3254413 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 2968002768 is about 54479.3792916182. The cubic root of 2968002768 is about 1437.1036768850.

The spelling of 2968002768 in words is "two billion, nine hundred sixty-eight million, two thousand, seven hundred sixty-eight".