2917399680 has 672 divisors, whose sum is σ = 11629104660. Its totient is φ = 698720256.

The previous prime is 2917399673. The next prime is 2917399697. The reversal of 2917399680 is 869937192.

It can be written as a sum of positive squares in 6 ways, for example, as 800663616 + 2116736064 = 28296^2 + 46008^2 .

It is a super-2 number, since 2×2917399680² = 17022441785728204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 78848622 + ... + 78848658.

Almost surely, 2^2917399680 is an apocalyptic number.

2917399680 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 2917399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5814552330).

2917399680 is an abundant number, since it is smaller than the sum of its proper divisors (8711704980).

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

2917399680 is an equidigital number, since it uses as much as digits as its factorization.

2917399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 2917399680 is about 54012.9584451731. The cubic root of 2917399680 is about 1428.8894959589.

The spelling of 2917399680 in words is "two billion, nine hundred seventeen million, three hundred ninety-nine thousand, six hundred eighty".