2672100 has 54 divisors (see below), whose sum is σ = 8378370. Its totient is φ = 712320.

The previous prime is 2672099. The next prime is 2672113. The reversal of 2672100 is 12762.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 28224 + 2643876 = 168^2 + 1626^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 585 + ... + 2384.

It is an arithmetic number, because the mean of its divisors is an integer number (155155).

2^2672100 is an apocalyptic number.

2672100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2672100 is an abundant number, since it is smaller than the sum of its proper divisors (5706270).

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

2672100 is a wasteful number, since it uses less digits than its factorization.

2672100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2979 counting only the distinct ones).

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

The square root of 2672100 is about 1634.6559270990. The cubic root of 2672100 is about 138.7663725505.

Adding to 2672100 its reverse (12762), we get a palindrome (2684862).

It can be divided in two parts, 2672 and 100, that added together give a palindrome (2772).

The spelling of 2672100 in words is "two million, six hundred seventy-two thousand, one hundred".