2072100 has 36 divisors (see below), whose sum is σ = 5996144. Its totient is φ = 552480.

The previous prime is 2072087. The next prime is 2072101. The reversal of 2072100 is 12702.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2072101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3154 + ... + 3753.

2^2072100 is an apocalyptic number.

2072100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2072100 is an abundant number, since it is smaller than the sum of its proper divisors (3924044).

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

2072100 is a wasteful number, since it uses less digits than its factorization.

2072100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6924 (or 6917 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 2072100 is about 1439.4790724425. The cubic root of 2072100 is about 127.4882726622.

Adding to 2072100 its reverse (12702), we get a palindrome (2084802).

The spelling of 2072100 in words is "two million, seventy-two thousand, one hundred".