2133417042 has 112 divisors (see below), whose sum is σ = 4982637240. Its totient is φ = 684288000.

The previous prime is 2133417031. The next prime is 2133417053. The reversal of 2133417042 is 2407143312.

It is a happy number.

2133417042 is a `hidden beast` number, since 213 + 341 + 70 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (2133417031) and next prime (2133417053).

It can be written as a sum of positive squares in 4 ways, for example, as 1646817561 + 486599481 = 40581^2 + 22059^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2133416997 and 2133417015.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 5320042 + ... + 5320442.

Almost surely, 2^2133417042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133417042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491318620).

2133417042 is an abundant number, since it is smaller than the sum of its proper divisors (2849220198).

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

2133417042 is an equidigital number, since it uses as much as digits as its factorization.

2133417042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2133417042 is about 46188.9276991792. The cubic root of 2133417042 is about 1287.3360167183.

The spelling of 2133417042 in words is "two billion, one hundred thirty-three million, four hundred seventeen thousand, forty-two".