2860734240 has 768 divisors, whose sum is σ = 13005619200. Its totient is φ = 570322944.

The previous prime is 2860734223. The next prime is 2860734311. The reversal of 2860734240 is 424370682.

2860734240 is a `hidden beast` number, since 2 + 8 + 607 + 3 + 4 + 2 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2860734195 and 2860734204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7469089 + ... + 7469471.

It is an arithmetic number, because the mean of its divisors is an integer number (16934400).

Almost surely, 2^2860734240 is an apocalyptic number.

2860734240 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 2860734240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6502809600).

2860734240 is an abundant number, since it is smaller than the sum of its proper divisors (10144884960).

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

2860734240 is a wasteful number, since it uses less digits than its factorization.

2860734240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2860734240 is about 53485.8321427273. The cubic root of 2860734240 is about 1419.5777095141.

The spelling of 2860734240 in words is "two billion, eight hundred sixty million, seven hundred thirty-four thousand, two hundred forty".