2542200 has 96 divisors (see below), whose sum is σ = 8332800. Its totient is φ = 639360.

The previous prime is 2542193. The next prime is 2542201. The reversal of 2542200 is 22452.

2542200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2542200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11289 + ... + 11511.

It is an arithmetic number, because the mean of its divisors is an integer number (86800).

2^2542200 is an apocalyptic number.

2542200 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 2542200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166400).

2542200 is an abundant number, since it is smaller than the sum of its proper divisors (5790600).

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

2542200 is a wasteful number, since it uses less digits than its factorization.

2542200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2542200 is about 1594.4277970482. The cubic root of 2542200 is about 136.4802799941.

Adding to 2542200 its reverse (22452), we get a palindrome (2564652).

The spelling of 2542200 in words is "two million, five hundred forty-two thousand, two hundred".