2916138316 has 144 divisors (see below), whose sum is σ = 7028089600. Its totient is φ = 1027924992.

The previous prime is 2916138271. The next prime is 2916138361. The reversal of 2916138316 is 6138316192.

It is an interprime number because it is at equal distance from previous prime (2916138271) and next prime (2916138361).

It is a super-3 number, since 3×2916138316³ (a number of 29 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1997995 + ... + 1999453.

Almost surely, 2^2916138316 is an apocalyptic number.

2916138316 is a gapful number since it is divisible by the number (26) 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 2916138316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514044800).

2916138316 is an abundant number, since it is smaller than the sum of its proper divisors (4111951284).

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

2916138316 is a wasteful number, since it uses less digits than its factorization.

2916138316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1517 counting only the distinct ones).

The product of its digits is 46656, while the sum is 40.

The square root of 2916138316 is about 54001.2806885170. The cubic root of 2916138316 is about 1428.6835351965.

The spelling of 2916138316 in words is "two billion, nine hundred sixteen million, one hundred thirty-eight thousand, three hundred sixteen".