2413200100 has 72 divisors (see below), whose sum is σ = 5334533568. Its totient is φ = 947395200.

The previous prime is 2413200091. The next prime is 2413200103. The reversal of 2413200100 is 10023142.

2413200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2413200103) 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, 1385230 + ... + 1386970.

It is an arithmetic number, because the mean of its divisors is an integer number (74090744).

Almost surely, 2^2413200100 is an apocalyptic number.

2413200100 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 2413200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667266784).

2413200100 is an abundant number, since it is smaller than the sum of its proper divisors (2921333468).

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

2413200100 is a wasteful number, since it uses less digits than its factorization.

2413200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2413200100 is about 49124.3330743533. Note that the first 3 decimals coincide. The cubic root of 2413200100 is about 1341.3160197984.

Adding to 2413200100 its reverse (10023142), we get a palindrome (2423223242).

The spelling of 2413200100 in words is "two billion, four hundred thirteen million, two hundred thousand, one hundred".