2601200 has 60 divisors (see below), whose sum is σ = 7149840. Its totient is φ = 890880.

The previous prime is 2601197. The next prime is 2601239. The reversal of 2601200 is 21062.

2601200 = T₂₆ + T₂₇ + ... + T₂₄₉.

2601200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2336 + ... + 3264.

It is an arithmetic number, because the mean of its divisors is an integer number (119164).

2^2601200 is an apocalyptic number.

2601200 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 2601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574920).

2601200 is an abundant number, since it is smaller than the sum of its proper divisors (4548640).

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

2601200 is a wasteful number, since it uses less digits than its factorization.

2601200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2601200 is about 1612.8236109383. The cubic root of 2601200 is about 137.5280383593.

Adding to 2601200 its reverse (21062), we get a palindrome (2622262).

The spelling of 2601200 in words is "two million, six hundred one thousand, two hundred".