2863254240 has 1152 divisors, whose sum is σ = 13586227200. Its totient is φ = 541900800.

The previous prime is 2863254197. The next prime is 2863254269. The reversal of 2863254240 is 424523682.

2863254240 is a `hidden beast` number, since 2 + 86 + 32 + 542 + 4 + 0 = 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 = 2863254195 and 2863254204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92363025 + ... + 92363055.

It is an arithmetic number, because the mean of its divisors is an integer number (11793600).

Almost surely, 2^2863254240 is an apocalyptic number.

2863254240 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 2863254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793113600).

2863254240 is an abundant number, since it is smaller than the sum of its proper divisors (10722972960).

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

2863254240 is a wasteful number, since it uses less digits than its factorization.

2863254240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2863254240 is about 53509.3845974704. The cubic root of 2863254240 is about 1419.9944190748.

The spelling of 2863254240 in words is "two billion, eight hundred sixty-three million, two hundred fifty-four thousand, two hundred forty".