2873613600 has 432 divisors, whose sum is σ = 11908862784. Its totient is φ = 642816000.

The previous prime is 2873613571. The next prime is 2873613607. The reversal of 2873613600 is 63163782.

It is a happy number.

2873613600 is a `hidden beast` number, since 2 + 8 + 7 + 36 + 13 + 600 = 666.

2873613600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (2873613607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1028205 + ... + 1030995.

It is an arithmetic number, because the mean of its divisors is an integer number (27566812).

Almost surely, 2^2873613600 is an apocalyptic number.

2873613600 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 2873613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5954431392).

2873613600 is an abundant number, since it is smaller than the sum of its proper divisors (9035249184).

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

2873613600 is a wasteful number, since it uses less digits than its factorization.

2873613600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2873613600 is about 53606.0966681962. The cubic root of 2873613600 is about 1421.7048887018.

The spelling of 2873613600 in words is "two billion, eight hundred seventy-three million, six hundred thirteen thousand, six hundred".