2113284880 has 320 divisors, whose sum is σ = 6285312000. Its totient is φ = 644474880.

The previous prime is 2113284863. The next prime is 2113284907. The reversal of 2113284880 is 884823112.

It is a super-2 number, since 2×2113284880² = 8931945968073228800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14183046 + ... + 14183194.

It is an arithmetic number, because the mean of its divisors is an integer number (19641600).

Almost surely, 2^2113284880 is an apocalyptic number.

2113284880 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 2113284880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142656000).

2113284880 is an abundant number, since it is smaller than the sum of its proper divisors (4172027120).

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

2113284880 is a wasteful number, since it uses less digits than its factorization.

2113284880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 2113284880 is about 45970.4783529604. The cubic root of 2113284880 is about 1283.2738621267.

The spelling of 2113284880 in words is "two billion, one hundred thirteen million, two hundred eighty-four thousand, eight hundred eighty".