2401200 has 180 divisors, whose sum is σ = 8994960. Its totient is φ = 591360.

The previous prime is 2401181. The next prime is 2401207. The reversal of 2401200 is 21042.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×2401200² = 11531522880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (2401207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82786 + ... + 82814.

It is an arithmetic number, because the mean of its divisors is an integer number (49972).

2^2401200 is an apocalyptic number.

2401200 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 2401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497480).

2401200 is an abundant number, since it is smaller than the sum of its proper divisors (6593760).

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

2401200 is a wasteful number, since it uses less digits than its factorization.

2401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2401200 is about 1549.5805884174. The cubic root of 2401200 is about 133.9089007301.

Adding to 2401200 its reverse (21042), we get a palindrome (2422242).

It can be divided in two parts, 2401 and 200, that added together give a square (2601 = 51²).

The spelling of 2401200 in words is "two million, four hundred one thousand, two hundred".