2873707200 has 1344 divisors, whose sum is σ = 13969105920. Its totient is φ = 557383680.

The previous prime is 2873707189. The next prime is 2873707201. The reversal of 2873707200 is 27073782.

2873707200 is a `hidden beast` number, since 2 + 87 + 370 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (2873707201) 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 191 ways as a sum of consecutive naturals, for example, 66830379 + ... + 66830421.

It is an arithmetic number, because the mean of its divisors is an integer number (10393680).

Almost surely, 2^2873707200 is an apocalyptic number.

2873707200 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 2873707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6984552960).

2873707200 is an abundant number, since it is smaller than the sum of its proper divisors (11095398720).

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

2873707200 is a wasteful number, since it uses less digits than its factorization.

2873707200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 2873707200 is about 53606.9696961132. The cubic root of 2873707200 is about 1421.7203245665.

The spelling of 2873707200 in words is "two billion, eight hundred seventy-three million, seven hundred seven thousand, two hundred".