2146321800 has 384 divisors, whose sum is σ = 8565523200. Its totient is φ = 489888000.

The previous prime is 2146321777. The next prime is 2146321831. The reversal of 2146321800 is 81236412.

2146321800 is a `hidden beast` number, since 2 + 14 + 632 + 18 + 0 + 0 = 666.

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

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, 3061450 + ... + 3062150.

It is an arithmetic number, because the mean of its divisors is an integer number (22306050).

Almost surely, 2^2146321800 is an apocalyptic number.

2146321800 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 2146321800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4282761600).

2146321800 is an abundant number, since it is smaller than the sum of its proper divisors (6419201400).

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

2146321800 is an equidigital number, since it uses as much as digits as its factorization.

2146321800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2146321800 is about 46328.4124485180. The cubic root of 2146321800 is about 1289.9264425337.

The spelling of 2146321800 in words is "two billion, one hundred forty-six million, three hundred twenty-one thousand, eight hundred".