2916209680 has 160 divisors (see below), whose sum is σ = 7428096000. Its totient is φ = 1060646400.

The previous prime is 2916209677. The next prime is 2916209683. The reversal of 2916209680 is 869026192.

It is an interprime number because it is at equal distance from previous prime (2916209677) and next prime (2916209683).

It is not an unprimeable number, because it can be changed into a prime (2916209683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9376725 + ... + 9377035.

It is an arithmetic number, because the mean of its divisors is an integer number (46425600).

Almost surely, 2^2916209680 is an apocalyptic number.

2916209680 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 2916209680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714048000).

2916209680 is an abundant number, since it is smaller than the sum of its proper divisors (4511886320).

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

2916209680 is a wasteful number, since it uses less digits than its factorization.

2916209680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 2916209680 is about 54001.9414465813. The cubic root of 2916209680 is about 1428.6951893923.

The spelling of 2916209680 in words is "two billion, nine hundred sixteen million, two hundred nine thousand, six hundred eighty".