2865782160 has 160 divisors (see below), whose sum is σ = 10390704000. Its totient is φ = 723976704.

The previous prime is 2865782137. The next prime is 2865782167. The reversal of 2865782160 is 612875682.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2865782167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6126 + ... + 75954.

It is an arithmetic number, because the mean of its divisors is an integer number (64941900).

Almost surely, 2^2865782160 is an apocalyptic number.

2865782160 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 2865782160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5195352000).

2865782160 is an abundant number, since it is smaller than the sum of its proper divisors (7524921840).

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

2865782160 is a wasteful number, since it uses less digits than its factorization.

2865782160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69870 (or 69858 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2865782160 is about 53533.0006631424. Note that the first 3 decimals coincide. The cubic root of 2865782160 is about 1420.4121927104.

The spelling of 2865782160 in words is "two billion, eight hundred sixty-five million, seven hundred eighty-two thousand, one hundred sixty".