2143987200 has 360 divisors, whose sum is σ = 7895775888. Its totient is φ = 555171840.

The previous prime is 2143987171. The next prime is 2143987229. The reversal of 2143987200 is 27893412.

It is an interprime number because it is at equal distance from previous prime (2143987171) and next prime (2143987229).

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

It is a super-2 number, since 2×2143987200² = 9193362227527680000, which contains 22 as substring.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4262149 + ... + 4262651.

Almost surely, 2^2143987200 is an apocalyptic number.

2143987200 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 2143987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947887944).

2143987200 is an abundant number, since it is smaller than the sum of its proper divisors (5751788688).

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

2143987200 is a wasteful number, since it uses less digits than its factorization.

2143987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2143987200 is about 46303.2093920065. The cubic root of 2143987200 is about 1289.4585793564.

The spelling of 2143987200 in words is "two billion, one hundred forty-three million, nine hundred eighty-seven thousand, two hundred".