2875392000 has 544 divisors, whose sum is σ = 11450362560. Its totient is φ = 707788800.

The previous prime is 2875391971. The next prime is 2875392029. The reversal of 2875392000 is 2935782.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2875391971) and next prime (2875392029).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221183994 + ... + 221184006.

Almost surely, 2^2875392000 is an apocalyptic number.

2875392000 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 2875392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725181280).

2875392000 is an abundant number, since it is smaller than the sum of its proper divisors (8574970560).

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

2875392000 is an frugal number, since it uses more digits than its factorization.

2875392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2875392000 is about 53622.6817680727. The cubic root of 2875392000 is about 1421.9981128355.

The spelling of 2875392000 in words is "two billion, eight hundred seventy-five million, three hundred ninety-two thousand".