2146450000200 has 288 divisors, whose sum is σ = 7386335369280. Its totient is φ = 515197760000.

The previous prime is 2146450000199. The next prime is 2146450000213. The reversal of 2146450000200 is 20000546412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7186237 + ... + 7478963.

It is an arithmetic number, because the mean of its divisors is an integer number (25646997810).

Almost surely, 2^{2146450000200} is an apocalyptic number.

2146450000200 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 2146450000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693167684640).

2146450000200 is an abundant number, since it is smaller than the sum of its proper divisors (5239885369080).

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

2146450000200 is a wasteful number, since it uses less digits than its factorization.

2146450000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292869 (or 292849 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 2146450000200 its reverse (20000546412), we get a palindrome (2166450546612).

The spelling of 2146450000200 in words is "two trillion, one hundred forty-six billion, four hundred fifty million, two hundred", and thus it is an aban number.