2891792016 has 150 divisors (see below), whose sum is σ = 8527230822. Its totient is φ = 946114560.

The previous prime is 2891792009. The next prime is 2891792023. The reversal of 2891792016 is 6102971982.

2891792016 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2891792009) and next prime (2891792023).

It can be written as a sum of positive squares in only one way, i.e., 2819610000 + 72182016 = 53100^2 + 8496^2 .

It is a super-2 number, since 2×2891792016² = 16724922127602688512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4511056 + ... + 4511696.

Almost surely, 2^2891792016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2891792016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263615411).

2891792016 is an abundant number, since it is smaller than the sum of its proper divisors (5635438806).

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

2891792016 is an equidigital number, since it uses as much as digits as its factorization.

2891792016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 2891792016 is about 53775.3848521793. The cubic root of 2891792016 is about 1424.6964805085.

The spelling of 2891792016 in words is "two billion, eight hundred ninety-one million, seven hundred ninety-two thousand, sixteen".