2421600 has 72 divisors (see below), whose sum is σ = 7890120. Its totient is φ = 645120.

The previous prime is 2421593. The next prime is 2421641. The reversal of 2421600 is 61242.

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 2421600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1896 + ... + 2904.

It is an arithmetic number, because the mean of its divisors is an integer number (109585).

2^2421600 is an apocalyptic number.

2421600 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 2421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945060).

2421600 is an abundant number, since it is smaller than the sum of its proper divisors (5468520).

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

2421600 is a wasteful number, since it uses less digits than its factorization.

2421600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2421600 is about 1556.1490931142. The cubic root of 2421600 is about 134.2870507962.

Adding to 2421600 its reverse (61242), we get a palindrome (2482842).

It can be divided in two parts, 24 and 21600, that multiplied together give a square (518400 = 720²).

The spelling of 2421600 in words is "two million, four hundred twenty-one thousand, six hundred".