2142100800 has 504 divisors, whose sum is σ = 8844076800. Its totient is φ = 481628160.

The previous prime is 2142100781. The next prime is 2142100813. The reversal of 2142100800 is 80012412.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7963066 + ... + 7963334.

Almost surely, 2^2142100800 is an apocalyptic number.

2142100800 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 2142100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422038400).

2142100800 is an abundant number, since it is smaller than the sum of its proper divisors (6701976000).

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

2142100800 is a wasteful number, since it uses less digits than its factorization.

2142100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2142100800 is about 46282.8348310689. The cubic root of 2142100800 is about 1289.0802890989.

The spelling of 2142100800 in words is "two billion, one hundred forty-two million, one hundred thousand, eight hundred".