4002005034 has 24 divisors (see below), whose sum is σ = 8722939680. Its totient is φ = 1326012648.

The previous prime is 4002005027. The next prime is 4002005153. The reversal of 4002005034 is 4305002004.

It is a happy number.

It is a super-2 number, since 2×4002005034² = 32032088584322682312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4002004998 and 4002005016.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 662664 + ... + 668675.

It is an arithmetic number, because the mean of its divisors is an integer number (363455820).

Almost surely, 2^4002005034 is an apocalyptic number.

4002005034 is an abundant number, since it is smaller than the sum of its proper divisors (4720934646).

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

4002005034 is a wasteful number, since it uses less digits than its factorization.

4002005034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331514 (or 1331511 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4002005034 is about 63261.4024030451. The cubic root of 4002005034 is about 1587.6662404205. Note that the first 3 decimals are identical.

Adding to 4002005034 its reverse (4305002004), we get a palindrome (8307007038).

The spelling of 4002005034 in words is "four billion, two million, five thousand, thirty-four".