2864140560 has 400 divisors, whose sum is σ = 10734461760. Its totient is φ = 705438720.

The previous prime is 2864140529. The next prime is 2864140577. The reversal of 2864140560 is 650414682.

2864140560 is a `hidden beast` number, since 2 + 8 + 641 + 4 + 0 + 5 + 6 + 0 = 666.

It is a super-3 number, since 3×2864140560³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5293890 + ... + 5294430.

Almost surely, 2^2864140560 is an apocalyptic number.

2864140560 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 2864140560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367230880).

2864140560 is an abundant number, since it is smaller than the sum of its proper divisors (7870321200).

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

2864140560 is a wasteful number, since it uses less digits than its factorization.

2864140560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2864140560 is about 53517.6658683841. The cubic root of 2864140560 is about 1420.1409236586.

The spelling of 2864140560 in words is "two billion, eight hundred sixty-four million, one hundred forty thousand, five hundred sixty".