2802084012 has 216 divisors, whose sum is σ = 9003470112. Its totient is φ = 728179200.

The previous prime is 2802084011. The next prime is 2802084013. The reversal of 2802084012 is 2104802082.

It is an interprime number because it is at equal distance from previous prime (2802084011) and next prime (2802084013).

It is a super-2 number, since 2×2802084012² = 15703349620612032288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2802084011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1627312 + ... + 1629032.

It is an arithmetic number, because the mean of its divisors is an integer number (41682732).

Almost surely, 2^2802084012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2802084012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4501735056).

2802084012 is an abundant number, since it is smaller than the sum of its proper divisors (6201386100).

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

2802084012 is a wasteful number, since it uses less digits than its factorization.

2802084012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2802084012 is about 52934.7146209366. The cubic root of 2802084012 is about 1409.8093419587.

Adding to 2802084012 its reverse (2104802082), we get a palindrome (4906886094).

The spelling of 2802084012 in words is "two billion, eight hundred two million, eighty-four thousand, twelve".