2100067200 has 576 divisors, whose sum is σ = 9352437120. Its totient is φ = 435916800.

The previous prime is 2100067199. The next prime is 2100067213. The reversal of 2100067200 is 27600012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2217127 + ... + 2218073.

It is an arithmetic number, because the mean of its divisors is an integer number (16236870).

Almost surely, 2^2100067200 is an apocalyptic number.

2100067200 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 2100067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676218560).

2100067200 is an abundant number, since it is smaller than the sum of its proper divisors (7252369920).

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

2100067200 is a wasteful number, since it uses less digits than its factorization.

2100067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2100067200 is about 45826.4901558040. The cubic root of 2100067200 is about 1280.5928243529.

Adding to 2100067200 its reverse (27600012), we get a palindrome (2127667212).

The spelling of 2100067200 in words is "two billion, one hundred million, sixty-seven thousand, two hundred".