2902768008 has 64 divisors (see below), whose sum is σ = 8297856000. Its totient is φ = 828939072.

The previous prime is 2902767983. The next prime is 2902768009. The reversal of 2902768008 is 8008672092.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2902768009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 490813 + ... + 496691.

It is an arithmetic number, because the mean of its divisors is an integer number (129654000).

Almost surely, 2^2902768008 is an apocalyptic number.

2902768008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2902768008 is an abundant number, since it is smaller than the sum of its proper divisors (5395087992).

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

2902768008 is a wasteful number, since it uses less digits than its factorization.

2902768008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8834 (or 8830 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 2902768008 is about 53877.3422507087. The cubic root of 2902768008 is about 1426.4967153752.

The spelling of 2902768008 in words is "two billion, nine hundred two million, seven hundred sixty-eight thousand, eight".