2182672800 has 864 divisors, whose sum is σ = 9983361024. Its totient is φ = 435456000.

The previous prime is 2182672787. The next prime is 2182672801. The reversal of 2182672800 is 82762812.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2182672801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17186337 + ... + 17186463.

It is an arithmetic number, because the mean of its divisors is an integer number (11554816).

Almost surely, 2^2182672800 is an apocalyptic number.

2182672800 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 2182672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991680512).

2182672800 is an abundant number, since it is smaller than the sum of its proper divisors (7800688224).

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

2182672800 is a wasteful number, since it uses less digits than its factorization.

2182672800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2182672800 is about 46719.0838951279. The cubic root of 2182672800 is about 1297.1679571785.

The spelling of 2182672800 in words is "two billion, one hundred eighty-two million, six hundred seventy-two thousand, eight hundred".