2859240384 has 1120 divisors, whose sum is σ = 12391948800. Its totient is φ = 627056640.

The previous prime is 2859240383. The next prime is 2859240401. The reversal of 2859240384 is 4830429582.

2859240384 is a `hidden beast` number, since 2 + 85 + 92 + 403 + 84 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2859240383) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 98594482 + ... + 98594510.

It is an arithmetic number, because the mean of its divisors is an integer number (11064240).

Almost surely, 2^2859240384 is an apocalyptic number.

2859240384 is a gapful number since it is divisible by the number (24) 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 2859240384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195974400).

2859240384 is an abundant number, since it is smaller than the sum of its proper divisors (9532708416).

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

2859240384 is a wasteful number, since it uses less digits than its factorization.

2859240384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2859240384 is about 53471.8653499202. The cubic root of 2859240384 is about 1419.3305685430.

The spelling of 2859240384 in words is "two billion, eight hundred fifty-nine million, two hundred forty thousand, three hundred eighty-four".