2412022400 has 96 divisors (see below), whose sum is σ = 5997649980. Its totient is φ = 958464000.

The previous prime is 2412022399. The next prime is 2412022409. The reversal of 2412022400 is 42202142.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 715241536 + 1696780864 = 26744^2 + 41192^2 .

It is not an unprimeable number, because it can be changed into a prime (2412022409) 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, 500000 + ... + 504800.

Almost surely, 2^2412022400 is an apocalyptic number.

2412022400 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 2412022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998824990).

2412022400 is an abundant number, since it is smaller than the sum of its proper divisors (3585627580).

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

2412022400 is a wasteful number, since it uses less digits than its factorization.

2412022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2412022400 is about 49112.3446803347. The cubic root of 2412022400 is about 1341.0977860766.

Adding to 2412022400 its reverse (42202142), we get a palindrome (2454224542).

The spelling of 2412022400 in words is "two billion, four hundred twelve million, twenty-two thousand, four hundred".