2421100400 has 120 divisors (see below), whose sum is σ = 5959506960. Its totient is φ = 944926720.

The previous prime is 2421100399. The next prime is 2421100411. The reversal of 2421100400 is 40011242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4082504 + ... + 4083096.

It is an arithmetic number, because the mean of its divisors is an integer number (49662558).

Almost surely, 2^2421100400 is an apocalyptic number.

2421100400 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 2421100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979753480).

2421100400 is an abundant number, since it is smaller than the sum of its proper divisors (3538406560).

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

2421100400 is a wasteful number, since it uses less digits than its factorization.

2421100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2421100400 is about 49204.6786393327. The cubic root of 2421100400 is about 1342.7781524599.

Adding to 2421100400 its reverse (40011242), we get a palindrome (2461111642).

The spelling of 2421100400 in words is "two billion, four hundred twenty-one million, one hundred thousand, four hundred".