2873088000 has 576 divisors, whose sum is σ = 10962151200. Its totient is φ = 722534400.

The previous prime is 2873087989. The next prime is 2873088011. The reversal of 2873088000 is 8803782.

It is an interprime number because it is at equal distance from previous prime (2873087989) and next prime (2873088011).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66815979 + ... + 66816021.

Almost surely, 2^2873088000 is an apocalyptic number.

2873088000 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 2873088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5481075600).

2873088000 is an abundant number, since it is smaller than the sum of its proper divisors (8089063200).

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

2873088000 is a wasteful number, since it uses less digits than its factorization.

2873088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2873088000 is about 53601.1940165515. The cubic root of 2873088000 is about 1421.6182041579.

The spelling of 2873088000 in words is "two billion, eight hundred seventy-three million, eighty-eight thousand".