2183412816 has 480 divisors, whose sum is σ = 7702007040. Its totient is φ = 569327616.

The previous prime is 2183412769. The next prime is 2183412821. The reversal of 2183412816 is 6182143812.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13907010 + ... + 13907166.

It is an arithmetic number, because the mean of its divisors is an integer number (16045848).

Almost surely, 2^2183412816 is an apocalyptic number.

2183412816 is a gapful number since it is divisible by the number (26) 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 2183412816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851003520).

2183412816 is an abundant number, since it is smaller than the sum of its proper divisors (5518594224).

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

2183412816 is a wasteful number, since it uses less digits than its factorization.

2183412816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 234 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2183412816 is about 46727.0030710295. The cubic root of 2183412816 is about 1297.3145384066.

The spelling of 2183412816 in words is "two billion, one hundred eighty-three million, four hundred twelve thousand, eight hundred sixteen".