2908970064 has 720 divisors, whose sum is σ = 11791120320. Its totient is φ = 674956800.

The previous prime is 2908970059. The next prime is 2908970087. The reversal of 2908970064 is 4600798092.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93837729 + ... + 93837759.

It is an arithmetic number, because the mean of its divisors is an integer number (16376556).

Almost surely, 2^2908970064 is an apocalyptic number.

2908970064 is a gapful number since it is divisible by the number (24) 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 2908970064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5895560160).

2908970064 is an abundant number, since it is smaller than the sum of its proper divisors (8882150256).

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

2908970064 is a wasteful number, since it uses less digits than its factorization.

2908970064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2908970064 is about 53934.8687214496. The cubic root of 2908970064 is about 1427.5119439398.

The spelling of 2908970064 in words is "two billion, nine hundred eight million, nine hundred seventy thousand, sixty-four".