2873579520 has 576 divisors, whose sum is σ = 11293551360. Its totient is φ = 620691456.

The previous prime is 2873579477. The next prime is 2873579591. The reversal of 2873579520 is 259753782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2873579520.

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, 34621399 + ... + 34621481.

It is an arithmetic number, because the mean of its divisors is an integer number (19606860).

Almost surely, 2^2873579520 is an apocalyptic number.

2873579520 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 2873579520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646775680).

2873579520 is an abundant number, since it is smaller than the sum of its proper divisors (8419971840).

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

2873579520 is a wasteful number, since it uses less digits than its factorization.

2873579520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The square root of 2873579520 is about 53605.7787929622. The cubic root of 2873579520 is about 1421.6992683806.

The spelling of 2873579520 in words is "two billion, eight hundred seventy-three million, five hundred seventy-nine thousand, five hundred twenty".