2874460000160 has 96 divisors (see below), whose sum is σ = 7769037773952. Its totient is φ = 984513807360.

The previous prime is 2874460000141. The next prime is 2874460000163. The reversal of 2874460000160 is 610000644782.

It is not an unprimeable number, because it can be changed into a prime (2874460000163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234047 + ... + 2409086.

It is an arithmetic number, because the mean of its divisors is an integer number (80927476812).

Almost surely, 2^{2874460000160} is an apocalyptic number.

2874460000160 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 2874460000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884518886976).

2874460000160 is an abundant number, since it is smaller than the sum of its proper divisors (4894577773792).

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

2874460000160 is a wasteful number, since it uses less digits than its factorization.

2874460000160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644126 (or 2644118 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The spelling of 2874460000160 in words is "two trillion, eight hundred seventy-four billion, four hundred sixty million, one hundred sixty", and thus it is an aban number.