2027100 has 72 divisors (see below), whose sum is σ = 6093360. Its totient is φ = 519680.

The previous prime is 2027099. The next prime is 2027101. The reversal of 2027100 is 17202.

2027100 = 131² + 132² + ... + 202².

It is an interprime number because it is at equal distance from previous prime (2027099) and next prime (2027101).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2027101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8584 + ... + 8816.

It is an arithmetic number, because the mean of its divisors is an integer number (84630).

2^2027100 is an apocalyptic number.

2027100 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 2027100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046680).

2027100 is an abundant number, since it is smaller than the sum of its proper divisors (4066260).

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

2027100 is a wasteful number, since it uses less digits than its factorization.

2027100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 272 counting only the distinct ones).

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

The square root of 2027100 is about 1423.7626206640. The cubic root of 2027100 is about 126.5586182318.

The spelling of 2027100 in words is "two million, twenty-seven thousand, one hundred".