2438900 has 36 divisors (see below), whose sum is σ = 5481420. Its totient is φ = 941920.

The previous prime is 2438893. The next prime is 2438903. The reversal of 2438900 is 98342.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 556516 + 1882384 = 746^2 + 1372^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2438900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2438903) 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, 84086 + ... + 84114.

2^2438900 is an apocalyptic number.

2438900 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 2438900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740710).

2438900 is an abundant number, since it is smaller than the sum of its proper divisors (3042520).

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

2438900 is an equidigital number, since it uses as much as digits as its factorization.

2438900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2438900 is about 1561.6977940690. The cubic root of 2438900 is about 134.6060761748.

The spelling of 2438900 in words is "two million, four hundred thirty-eight thousand, nine hundred".