2874338208 has 144 divisors (see below), whose sum is σ = 9470051136. Its totient is φ = 809948160.

The previous prime is 2874338191. The next prime is 2874338213. The reversal of 2874338208 is 8028334782.

2874338208 is a `hidden beast` number, since 2 + 8 + 7 + 433 + 8 + 208 = 666.

2874338208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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, 137403 + ... + 156933.

It is an arithmetic number, because the mean of its divisors is an integer number (65764244).

Almost surely, 2^2874338208 is an apocalyptic number.

2874338208 is a gapful number since it is divisible by the number (28) 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 2874338208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4735025568).

2874338208 is an abundant number, since it is smaller than the sum of its proper divisors (6595712928).

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

2874338208 is a wasteful number, since it uses less digits than its factorization.

2874338208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19627 (or 19616 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2874338208 is about 53612.8548764193. The cubic root of 2874338208 is about 1421.8243772972.

The spelling of 2874338208 in words is "two billion, eight hundred seventy-four million, three hundred thirty-eight thousand, two hundred eight".