2413883142 has 96 divisors (see below), whose sum is σ = 6082970400. Its totient is φ = 683688960.

The previous prime is 2413883141. The next prime is 2413883149.

It is a happy number.

2413883142 is a `hidden beast` number, since 241 + 388 + 31 + 4 + 2 = 666.

2413883142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2413883097 and 2413883106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413883141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499128 + ... + 503940.

It is an arithmetic number, because the mean of its divisors is an integer number (63364275).

Almost surely, 2^2413883142 is an apocalyptic number.

2413883142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413883142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041485200).

2413883142 is an abundant number, since it is smaller than the sum of its proper divisors (3669087258).

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

2413883142 is a wasteful number, since it uses less digits than its factorization.

2413883142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998 (or 4995 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2413883142 is about 49131.2847582882. The cubic root of 2413883142 is about 1341.4425583797.

The spelling of 2413883142 in words is "two billion, four hundred thirteen million, eight hundred eighty-three thousand, one hundred forty-two".