2874009600 has 1008 divisors, whose sum is σ = 13320084960. Its totient is φ = 597196800.

The previous prime is 2874009587. The next prime is 2874009601. The reversal of 2874009600 is 69004782.

It is a Jordan-Polya number, since it can be written as 12! ⋅ 3!.

2874009600 is a `hidden beast` number, since 2 + 8 + 7 + 40 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2874009601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 261273595 + ... + 261273605.

It is an arithmetic number, because the mean of its divisors is an integer number (13214370).

Almost surely, 2^2874009600 is an apocalyptic number.

2874009600 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 2874009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6660042480).

2874009600 is an abundant number, since it is smaller than the sum of its proper divisors (10446075360).

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

2874009600 is an equidigital number, since it uses as much as digits as its factorization.

2874009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 28 counting only the distinct ones).

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

The square root of 2874009600 is about 53609.7901506805. The cubic root of 2874009600 is about 1421.7701919929.

The spelling of 2874009600 in words is "two billion, eight hundred seventy-four million, nine thousand, six hundred".