2874913200 has 180 divisors, whose sum is σ = 10029380400. Its totient is φ = 762600960.

The previous prime is 2874913159. The next prime is 2874913243. The reversal of 2874913200 is 23194782.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 714394 + ... + 718406.

It is an arithmetic number, because the mean of its divisors is an integer number (55718780).

Almost surely, 2^2874913200 is an apocalyptic number.

2874913200 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 2874913200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5014690200).

2874913200 is an abundant number, since it is smaller than the sum of its proper divisors (7154467200).

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

2874913200 is a wasteful number, since it uses less digits than its factorization.

2874913200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4236 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2874913200 is about 53618.2170535351. The cubic root of 2874913200 is about 1421.9191797728.

The spelling of 2874913200 in words is "two billion, eight hundred seventy-four million, nine hundred thirteen thousand, two hundred".