2802240000 has 600 divisors, whose sum is σ = 11632901280. Its totient is φ = 635904000.

The previous prime is 2802239989. The next prime is 2802240011. The reversal of 2802240000 is 422082.

It is an interprime number because it is at equal distance from previous prime (2802239989) and next prime (2802240011).

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20159931 + ... + 20160069.

Almost surely, 2^2802240000 is an apocalyptic number.

2802240000 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 2802240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816450640).

2802240000 is an abundant number, since it is smaller than the sum of its proper divisors (8830661280).

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

2802240000 is an equidigital number, since it uses as much as digits as its factorization.

2802240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2802240000 is about 52936.1880002707. The cubic root of 2802240000 is about 1409.8355021616.

Adding to 2802240000 its reverse (422082), we get a palindrome (2802662082).

The spelling of 2802240000 in words is "two billion, eight hundred two million, two hundred forty thousand".