2413044200 has 144 divisors (see below), whose sum is σ = 6617662380. Its totient is φ = 815754240.

The previous prime is 2413044181. The next prime is 2413044203. The reversal of 2413044200 is 24403142.

It can be written as a sum of positive squares in 6 ways, for example, as 1748745124 + 664299076 = 41818^2 + 25774^2 .

It is a super-2 number, since 2×2413044200² = 11645564622307280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2413044203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 713714 + ... + 717086.

Almost surely, 2^2413044200 is an apocalyptic number.

2413044200 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 2413044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308831190).

2413044200 is an abundant number, since it is smaller than the sum of its proper divisors (4204618180).

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

2413044200 is a wasteful number, since it uses less digits than its factorization.

2413044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2413044200 is about 49122.7462587344. The cubic root of 2413044200 is about 1341.2871348238.

Adding to 2413044200 its reverse (24403142), we get a palindrome (2437447342).

The spelling of 2413044200 in words is "two billion, four hundred thirteen million, forty-four thousand, two hundred".