2916873984 has 144 divisors (see below), whose sum is σ = 8321467392. Its totient is φ = 904679424.

The previous prime is 2916873983. The next prime is 2916874001. The reversal of 2916873984 is 4893786192.

It is a super-3 number, since 3×2916873984³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2916873983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651337 + ... + 655799.

It is an arithmetic number, because the mean of its divisors is an integer number (57787968).

Almost surely, 2^2916873984 is an apocalyptic number.

2916873984 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 2916873984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160733696).

2916873984 is an abundant number, since it is smaller than the sum of its proper divisors (5404593408).

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

2916873984 is a wasteful number, since it uses less digits than its factorization.

2916873984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4542 (or 4528 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The square root of 2916873984 is about 54008.0918381681. The cubic root of 2916873984 is about 1428.8036653452.

The spelling of 2916873984 in words is "two billion, nine hundred sixteen million, eight hundred seventy-three thousand, nine hundred eighty-four".