2412440400 has 240 divisors, whose sum is σ = 8059484160. Its totient is φ = 616089600.

The previous prime is 2412440377. The next prime is 2412440411. The reversal of 2412440400 is 40442142.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6298609 + ... + 6298991.

It is an arithmetic number, because the mean of its divisors is an integer number (33581184).

Almost surely, 2^2412440400 is an apocalyptic number.

2412440400 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 2412440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029742080).

2412440400 is an abundant number, since it is smaller than the sum of its proper divisors (5647043760).

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

2412440400 is a wasteful number, since it uses less digits than its factorization.

2412440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 603 counting only the distinct ones).

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

The square root of 2412440400 is about 49116.6000451986. The cubic root of 2412440400 is about 1341.1752517053.

Adding to 2412440400 its reverse (40442142), we get a palindrome (2452882542).

The spelling of 2412440400 in words is "two billion, four hundred twelve million, four hundred forty thousand, four hundred".