2424212400 has 120 divisors (see below), whose sum is σ = 8016185344. Its totient is φ = 625593600.

The previous prime is 2424212387. The next prime is 2424212423. The reversal of 2424212400 is 42124242.

It is a tau number, because it is divible by the number of its divisors (120).

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, 4617 + ... + 69783.

Almost surely, 2^2424212400 is an apocalyptic number.

2424212400 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 2424212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008092672).

2424212400 is an abundant number, since it is smaller than the sum of its proper divisors (5591972944).

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

2424212400 is a wasteful number, since it uses less digits than its factorization.

2424212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65219 (or 65208 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2424212400 is about 49236.2914931659. The cubic root of 2424212400 is about 1343.3532265723.

Adding to 2424212400 its reverse (42124242), we get a palindrome (2466336642).

The spelling of 2424212400 in words is "two billion, four hundred twenty-four million, two hundred twelve thousand, four hundred".