2442100 has 18 divisors (see below), whose sum is σ = 5299574. Its totient is φ = 976800.

The previous prime is 2442059. The next prime is 2442103. The reversal of 2442100 is 12442.

It can be written as a sum of positive squares in 3 ways, for example, as 45796 + 2396304 = 214^2 + 1548^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12111 + ... + 12310.

2^2442100 is an apocalyptic number.

2442100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442100 is an abundant number, since it is smaller than the sum of its proper divisors (2857474).

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

2442100 is a wasteful number, since it uses less digits than its factorization.

2442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24435 (or 24428 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2442100 is about 1562.7219842314. The cubic root of 2442100 is about 134.6649211725.

Adding to 2442100 its reverse (12442), we get a palindrome (2454542).

It can be divided in two parts, 24 and 42100, that added together give a palindrome (42124).

The spelling of 2442100 in words is "two million, four hundred forty-two thousand, one hundred".