2032414000 has 80 divisors (see below), whose sum is σ = 4959995040. Its totient is φ = 805420800.

The previous prime is 2032413991. The next prime is 2032414009. The reversal of 2032414000 is 4142302.

It is an interprime number because it is at equal distance from previous prime (2032413991) and next prime (2032414009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2032414009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213339 + ... + 222661.

It is an arithmetic number, because the mean of its divisors is an integer number (61999938).

Almost surely, 2^2032414000 is an apocalyptic number.

2032414000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479997520).

2032414000 is an abundant number, since it is smaller than the sum of its proper divisors (2927581040).

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

2032414000 is a wasteful number, since it uses less digits than its factorization.

2032414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9455 (or 9439 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2032414000 is about 45082.3025144014. The cubic root of 2032414000 is about 1266.6911198726.

Adding to 2032414000 its reverse (4142302), we get a palindrome (2036556302).

The spelling of 2032414000 in words is "two billion, thirty-two million, four hundred fourteen thousand".