2034742413 has 48 divisors (see below), whose sum is σ = 3102870848. Its totient is φ = 1184198400.

The previous prime is 2034742397. The next prime is 2034742439. The reversal of 2034742413 is 3142474302.

It is not a de Polignac number, because 2034742413 - 2⁴ = 2034742397 is a prime.

It is a super-2 number, since 2×2034742413² = 8280353374522125138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034742313) 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, 951081 + ... + 953217.

Almost surely, 2^2034742413 is an apocalyptic number.

It is an amenable number.

2034742413 is a deficient number, since it is larger than the sum of its proper divisors (1068128435).

2034742413 is a wasteful number, since it uses less digits than its factorization.

2034742413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 2034742413 is about 45108.1191472223. The cubic root of 2034742413 is about 1267.1746589020.

It can be divided in two parts, 2034 and 742413, that added together give a palindrome (744447).

The spelling of 2034742413 in words is "two billion, thirty-four million, seven hundred forty-two thousand, four hundred thirteen".