2143285200 has 360 divisors, whose sum is σ = 9002155968. Its totient is φ = 460984320.

The previous prime is 2143285187. The next prime is 2143285219. The reversal of 2143285200 is 25823412.

2143285200 is a `hidden beast` number, since 21 + 432 + 8 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

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, 425899 + ... + 430901.

Almost surely, 2^2143285200 is an apocalyptic number.

2143285200 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 2143285200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4501077984).

2143285200 is an abundant number, since it is smaller than the sum of its proper divisors (6858870768).

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

2143285200 is a wasteful number, since it uses less digits than its factorization.

2143285200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5051 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2143285200 is about 46295.6283033290. The cubic root of 2143285200 is about 1289.3178293345.

It can be divided in two parts, 2143285 and 200, that added together give a triangular number (2143485 = T₂₀₇₀).

The spelling of 2143285200 in words is "two billion, one hundred forty-three million, two hundred eighty-five thousand, two hundred".