2413200000000 has 396 divisors, whose sum is σ = 8044066193936. Its totient is φ = 643200000000.

The previous prime is 2413199999953. The next prime is 2413200000011. The reversal of 2413200000000 is 23142.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1199998995 + ... + 1200001005.

Almost surely, 2^{2413200000000} is an apocalyptic number.

2413200000000 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 2413200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022033096968).

2413200000000 is an abundant number, since it is smaller than the sum of its proper divisors (5630866193936).

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

2413200000000 is an frugal number, since it uses more digits than its factorization.

2413200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 2413200000000 its reverse (23142), we get a palindrome (2413200023142).

The spelling of 2413200000000 in words is "two trillion, four hundred thirteen billion, two hundred million", and thus it is an aban number.