2802272000 has 288 divisors, whose sum is σ = 8035372800. Its totient is φ = 963072000.

The previous prime is 2802271987. The next prime is 2802272017. The reversal of 2802272000 is 2722082.

It is a happy number.

It is a congruent number.

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, 6687791 + ... + 6688209.

It is an arithmetic number, because the mean of its divisors is an integer number (27900600).

Almost surely, 2^2802272000 is an apocalyptic number.

2802272000 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 2802272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017686400).

2802272000 is an abundant number, since it is smaller than the sum of its proper divisors (5233100800).

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

2802272000 is a wasteful number, since it uses less digits than its factorization.

2802272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2802272000 is about 52936.4902501101. The cubic root of 2802272000 is about 1409.8408686499.

Adding to 2802272000 its reverse (2722082), we get a palindrome (2804994082).

The spelling of 2802272000 in words is "two billion, eight hundred two million, two hundred seventy-two thousand".