2908006920 has 480 divisors, whose sum is σ = 12253210200. Its totient is φ = 613122048.

The previous prime is 2908006873. The next prime is 2908006921. The reversal of 2908006920 is 296008092.

It can be written as a sum of positive squares in 4 ways, for example, as 861892164 + 2046114756 = 29358^2 + 45234^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2908006921) 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 119 ways as a sum of consecutive naturals, for example, 2063176 + ... + 2064584.

Almost surely, 2^2908006920 is an apocalyptic number.

2908006920 is a gapful number since it is divisible by the number (20) 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 2908006920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126605100).

2908006920 is an abundant number, since it is smaller than the sum of its proper divisors (9345203280).

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

2908006920 is a wasteful number, since it uses less digits than its factorization.

2908006920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2908006920 is about 53925.9392129613. The cubic root of 2908006920 is about 1427.3543794294.

The spelling of 2908006920 in words is "two billion, nine hundred eight million, six thousand, nine hundred twenty".