2864216160 has 192 divisors, whose sum is σ = 10796103360. Its totient is φ = 705024000.

The previous prime is 2864216153. The next prime is 2864216189. The reversal of 2864216160 is 616124682.

2864216160 is a `hidden beast` number, since 2 + 8 + 642 + 1 + 6 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×2864216160² = 16407468422410291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30660 + ... + 81660.

It is an arithmetic number, because the mean of its divisors is an integer number (56229705).

Almost surely, 2^2864216160 is an apocalyptic number.

2864216160 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 2864216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5398051680).

2864216160 is an abundant number, since it is smaller than the sum of its proper divisors (7931887200).

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

2864216160 is a wasteful number, since it uses less digits than its factorization.

2864216160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51038 (or 51024 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2864216160 is about 53518.3721725540. The cubic root of 2864216160 is about 1420.1534185888.

It can be divided in two parts, 2864 and 216160, that added together give a square (219024 = 468²).

The spelling of 2864216160 in words is "two billion, eight hundred sixty-four million, two hundred sixteen thousand, one hundred sixty".