2431200 has 72 divisors (see below), whose sum is σ = 7921368. Its totient is φ = 647680.

The previous prime is 2431189. The next prime is 2431201. The reversal of 2431200 is 21342.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1894 + ... + 2906.

It is an arithmetic number, because the mean of its divisors is an integer number (110019).

2^2431200 is an apocalyptic number.

2431200 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 2431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3960684).

2431200 is an abundant number, since it is smaller than the sum of its proper divisors (5490168).

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

2431200 is a wasteful number, since it uses less digits than its factorization.

2431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2431200 is about 1559.2305794846. The cubic root of 2431200 is about 134.4642691487.

Adding to 2431200 its reverse (21342), we get a palindrome (2452542).

It can be divided in two parts, 243 and 1200, that multiplied together give a square (291600 = 540²).

The spelling of 2431200 in words is "two million, four hundred thirty-one thousand, two hundred".