2857325760 has 224 divisors, whose sum is σ = 10132039680. Its totient is φ = 758025216.

The previous prime is 2857325759. The next prime is 2857325761. The reversal of 2857325760 is 675237582.

2857325760 is a `hidden beast` number, since 2 + 8 + 5 + 73 + 2 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2857325759) and next prime (2857325761).

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 (2857325761) 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, 1925979 + ... + 1927461.

It is an arithmetic number, because the mean of its divisors is an integer number (45232320).

Almost surely, 2^2857325760 is an apocalyptic number.

2857325760 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 2857325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066019840).

2857325760 is an abundant number, since it is smaller than the sum of its proper divisors (7274713920).

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

2857325760 is a wasteful number, since it uses less digits than its factorization.

2857325760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 2857325760 is about 53453.9592546707. The cubic root of 2857325760 is about 1419.0136905383.

The spelling of 2857325760 in words is "two billion, eight hundred fifty-seven million, three hundred twenty-five thousand, seven hundred sixty".