2180786400 has 432 divisors, whose sum is σ = 8650133856. Its totient is φ = 512962560.

The previous prime is 2180786393. The next prime is 2180786411. The reversal of 2180786400 is 46870812.

2180786400 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 7 + 8 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 2152294 + ... + 2153306.

It is an arithmetic number, because the mean of its divisors is an integer number (20023458).

Almost surely, 2^2180786400 is an apocalyptic number.

2180786400 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 2180786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325066928).

2180786400 is an abundant number, since it is smaller than the sum of its proper divisors (6469347456).

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

2180786400 is a wasteful number, since it uses less digits than its factorization.

2180786400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1059 counting only the distinct ones).

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

The square root of 2180786400 is about 46698.8907791181. The cubic root of 2180786400 is about 1296.7941520413.

The spelling of 2180786400 in words is "two billion, one hundred eighty million, seven hundred eighty-six thousand, four hundred".