2816985160 has 64 divisors (see below), whose sum is σ = 7002028800. Its totient is φ = 1011379200.

The previous prime is 2816985107. The next prime is 2816985167. The reversal of 2816985160 is 615896182.

2816985160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2816985160.

It is not an unprimeable number, because it can be changed into a prime (2816985167) 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, 5761 + ... + 75280.

It is an arithmetic number, because the mean of its divisors is an integer number (109406700).

Almost surely, 2^2816985160 is an apocalyptic number.

2816985160 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 2816985160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501014400).

2816985160 is an abundant number, since it is smaller than the sum of its proper divisors (4185043640).

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

2816985160 is a wasteful number, since it uses less digits than its factorization.

2816985160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81142 (or 81138 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The square root of 2816985160 is about 53075.2782376127. The cubic root of 2816985160 is about 1412.3039909706.

The spelling of 2816985160 in words is "two billion, eight hundred sixteen million, nine hundred eighty-five thousand, one hundred sixty".