2859410891680 has 144 divisors (see below), whose sum is σ = 7861681124136. Its totient is φ = 979944376320.

The previous prime is 2859410891677. The next prime is 2859410891749. The reversal of 2859410891680 is 861980149582.

It can be written as a sum of positive squares in 4 ways, for example, as 2810840021136 + 48570870544 = 1676556^2 + 220388^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18275542 + ... + 18431338.

Almost surely, 2^{2859410891680} is an apocalyptic number.

2859410891680 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 2859410891680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930840562068).

2859410891680 is an abundant number, since it is smaller than the sum of its proper divisors (5002270232456).

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

2859410891680 is a wasteful number, since it uses less digits than its factorization.

2859410891680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158167 (or 158152 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 61.

The spelling of 2859410891680 in words is "two trillion, eight hundred fifty-nine billion, four hundred ten million, eight hundred ninety-one thousand, six hundred eighty".