2671200 has 216 divisors, whose sum is σ = 10968048. Its totient is φ = 599040.

The previous prime is 2671199. The next prime is 2671211. The reversal of 2671200 is 21762.

It is a happy number.

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 (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50374 + ... + 50426.

It is an arithmetic number, because the mean of its divisors is an integer number (50778).

2^2671200 is an apocalyptic number.

2671200 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 2671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484024).

2671200 is an abundant number, since it is smaller than the sum of its proper divisors (8296848).

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

2671200 is a wasteful number, since it uses less digits than its factorization.

2671200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 70 counting only the distinct ones).

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

The square root of 2671200 is about 1634.3806166251. The cubic root of 2671200 is about 138.7507913274.

Adding to 2671200 its reverse (21762), we get a palindrome (2692962).

It can be divided in two parts, 267 and 1200, that multiplied together give a triangular number (320400 = T₈₀₀).

The spelling of 2671200 in words is "two million, six hundred seventy-one thousand, two hundred".