2032415104 has 64 divisors (see below), whose sum is σ = 4271454000. Its totient is φ = 960602112.

The previous prime is 2032415071. The next prime is 2032415129. The reversal of 2032415104 is 4015142302.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×2032415104³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1966972 + ... + 1968004.

Almost surely, 2^2032415104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135727000).

2032415104 is an abundant number, since it is smaller than the sum of its proper divisors (2239038896).

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

2032415104 is a wasteful number, since it uses less digits than its factorization.

2032415104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2032415104 is about 45082.3147586723. The cubic root of 2032415104 is about 1266.6913492266.

Adding to 2032415104 its reverse (4015142302), we get a palindrome (6047557406).

The spelling of 2032415104 in words is "two billion, thirty-two million, four hundred fifteen thousand, one hundred four".