2802424400880 has 320 divisors, whose sum is σ = 9390538967040. Its totient is φ = 687270739968.

The previous prime is 2802424400869. The next prime is 2802424400917. The reversal of 2802424400880 is 880044242082.

2802424400880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1145247817 + ... + 1145250263.

It is an arithmetic number, because the mean of its divisors is an integer number (29345434272).

Almost surely, 2^{2802424400880} is an apocalyptic number.

2802424400880 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 2802424400880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4695269483520).

2802424400880 is an abundant number, since it is smaller than the sum of its proper divisors (6588114566160).

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

2802424400880 is a wasteful number, since it uses less digits than its factorization.

2802424400880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 42.

The spelling of 2802424400880 in words is "two trillion, eight hundred two billion, four hundred twenty-four million, four hundred thousand, eight hundred eighty".