2859433674240 has 640 divisors, whose sum is σ = 10780410009600. Its totient is φ = 637428695040.

The previous prime is 2859433674179. The next prime is 2859433674301. The reversal of 2859433674240 is 424763349582.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2859433674179) and next prime (2859433674301).

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295421721 + ... + 295431399.

It is an arithmetic number, because the mean of its divisors is an integer number (16844390640).

Almost surely, 2^{2859433674240} is an apocalyptic number.

2859433674240 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 2859433674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5390205004800).

2859433674240 is an abundant number, since it is smaller than the sum of its proper divisors (7920976335360).

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

2859433674240 is a wasteful number, since it uses less digits than its factorization.

2859433674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9998 (or 9982 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 2859433674240 in words is "two trillion, eight hundred fifty-nine billion, four hundred thirty-three million, six hundred seventy-four thousand, two hundred forty".