2931542016 has 288 divisors, whose sum is σ = 9011358720. Its totient is φ = 842268672.

The previous prime is 2931541969. The next prime is 2931542017. The reversal of 2931542016 is 6102451392.

It is not an unprimeable number, because it can be changed into a prime (2931542017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23082945 + ... + 23083071.

It is an arithmetic number, because the mean of its divisors is an integer number (31289440).

Almost surely, 2^2931542016 is an apocalyptic number.

2931542016 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 2931542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505679360).

2931542016 is an abundant number, since it is smaller than the sum of its proper divisors (6079816704).

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

2931542016 is a wasteful number, since it uses less digits than its factorization.

2931542016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2931542016 is about 54143.7163113135. The cubic root of 2931542016 is about 1431.1946617659.

The spelling of 2931542016 in words is "two billion, nine hundred thirty-one million, five hundred forty-two thousand, sixteen".