2438100 has 180 divisors, whose sum is σ = 9242464. Its totient is φ = 544320.

The previous prime is 2438083. The next prime is 2438101. The reversal of 2438100 is 18342.

It is a happy number.

2438100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2438100² = 11888663220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2438101) 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 59 ways as a sum of consecutive naturals, for example, 56679 + ... + 56721.

2^2438100 is an apocalyptic number.

2438100 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 2438100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621232).

2438100 is an abundant number, since it is smaller than the sum of its proper divisors (6804364).

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

2438100 is a wasteful number, since it uses less digits than its factorization.

2438100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2438100 is about 1561.4416415608. The cubic root of 2438100 is about 134.5913568837.

The spelling of 2438100 in words is "two million, four hundred thirty-eight thousand, one hundred".