2064182400 has 384 divisors, whose sum is σ = 8636054400. Its totient is φ = 471674880.

The previous prime is 2064182333. The next prime is 2064182501. The reversal of 2064182400 is 42814602.

2064182400 is a `hidden beast` number, since 2 + 0 + 6 + 418 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 603094 + ... + 606506.

It is an arithmetic number, because the mean of its divisors is an integer number (22489725).

Almost surely, 2^2064182400 is an apocalyptic number.

2064182400 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 2064182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318027200).

2064182400 is an abundant number, since it is smaller than the sum of its proper divisors (6571872000).

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

2064182400 is a wasteful number, since it uses less digits than its factorization.

2064182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2064182400 is about 45433.2741501204. The cubic root of 2064182400 is about 1273.2568566650.

It can be divided in two parts, 20641 and 82400, that added together give a square (103041 = 321²).

The spelling of 2064182400 in words is "two billion, sixty-four million, one hundred eighty-two thousand, four hundred".