2873948000 has 576 divisors, whose sum is σ = 9465071616. Its totient is φ = 846720000.

The previous prime is 2873947991. The next prime is 2873948009. The reversal of 2873948000 is 8493782.

It is an interprime number because it is at equal distance from previous prime (2873947991) and next prime (2873948009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2873948009) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 66835979 + ... + 66836021.

It is an arithmetic number, because the mean of its divisors is an integer number (16432416).

Almost surely, 2^2873948000 is an apocalyptic number.

2873948000 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 2873948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4732535808).

2873948000 is an abundant number, since it is smaller than the sum of its proper divisors (6591123616).

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

2873948000 is a wasteful number, since it uses less digits than its factorization.

2873948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 2873948000 is about 53609.2156256739. The cubic root of 2873948000 is about 1421.7600340972.

The spelling of 2873948000 in words is "two billion, eight hundred seventy-three million, nine hundred forty-eight thousand".