2413212342000 has 80 divisors (see below), whose sum is σ = 7780196609952. Its totient is φ = 643523289600.

The previous prime is 2413212341971. The next prime is 2413212342031. The reversal of 2413212342000 is 2432123142.

It is a happy number.

2413212342000 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 (80).

It is a super-2 number, since 2×2413212342000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201095029 + ... + 201107028.

Almost surely, 2^{2413212342000} is an apocalyptic number.

2413212342000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413212342000 is an abundant number, since it is smaller than the sum of its proper divisors (5366984267952).

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

2413212342000 is a wasteful number, since it uses less digits than its factorization.

2413212342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402202083 (or 402202067 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2413212342000 its reverse (2432123142), we get a palindrome (2415644465142).

The spelling of 2413212342000 in words is "two trillion, four hundred thirteen billion, two hundred twelve million, three hundred forty-two thousand".