2875582080 has 256 divisors, whose sum is σ = 11639750400. Its totient is φ = 657248256.

The previous prime is 2875582051. The next prime is 2875582081. The reversal of 2875582080 is 802855782.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2875582081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109074 + ... + 132846.

It is an arithmetic number, because the mean of its divisors is an integer number (45467775).

Almost surely, 2^2875582080 is an apocalyptic number.

2875582080 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 2875582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819875200).

2875582080 is an abundant number, since it is smaller than the sum of its proper divisors (8764168320).

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

2875582080 is a wasteful number, since it uses less digits than its factorization.

2875582080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23808 (or 23790 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 2875582080 is about 53624.4541230957. The cubic root of 2875582080 is about 1422.0294462381.

The spelling of 2875582080 in words is "two billion, eight hundred seventy-five million, five hundred eighty-two thousand, eighty".