2917998720 has 768 divisors, whose sum is σ = 13098758400. Its totient is φ = 581271552.

The previous prime is 2917998709. The next prime is 2917998731. The reversal of 2917998720 is 278997192.

It is an interprime number because it is at equal distance from previous prime (2917998709) and next prime (2917998731).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9958894 + ... + 9959186.

It is an arithmetic number, because the mean of its divisors is an integer number (17055675).

Almost surely, 2^2917998720 is an apocalyptic number.

2917998720 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 2917998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549379200).

2917998720 is an abundant number, since it is smaller than the sum of its proper divisors (10180759680).

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

2917998720 is a wasteful number, since it uses less digits than its factorization.

2917998720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 2917998720 is about 54018.5034964872. The cubic root of 2917998720 is about 1428.9872889113.

The spelling of 2917998720 in words is "two billion, nine hundred seventeen million, nine hundred ninety-eight thousand, seven hundred twenty".