2413201200 has 120 divisors (see below), whose sum is σ = 7979774976. Its totient is φ = 622752000.

The previous prime is 2413201183. The next prime is 2413201201. The reversal of 2413201200 is 21023142.

2413201200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2413201200.

It is not an unprimeable number, because it can be changed into a prime (2413201201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4765 + ... + 69635.

Almost surely, 2^2413201200 is an apocalyptic number.

2413201200 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 2413201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989887488).

2413201200 is an abundant number, since it is smaller than the sum of its proper divisors (5566573776).

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

2413201200 is a wasteful number, since it uses less digits than its factorization.

2413201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64923 (or 64912 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2413201200 is about 49124.3442704328. The cubic root of 2413201200 is about 1341.3162236008.

Adding to 2413201200 its reverse (21023142), we get a palindrome (2434224342).

The spelling of 2413201200 in words is "two billion, four hundred thirteen million, two hundred one thousand, two hundred".