2032050000 has 480 divisors, whose sum is σ = 7439523840. Its totient is φ = 475200000.

The previous prime is 2032049983. The next prime is 2032050017. The reversal of 2032050000 is 502302.

It is an interprime number because it is at equal distance from previous prime (2032049983) and next prime (2032050017).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 65549985 + ... + 65550015.

It is an arithmetic number, because the mean of its divisors is an integer number (15499008).

Almost surely, 2^2032050000 is an apocalyptic number.

2032050000 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 2032050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719761920).

2032050000 is an abundant number, since it is smaller than the sum of its proper divisors (5407473840).

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

2032050000 is a wasteful number, since it uses less digits than its factorization.

2032050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 2032050000 is about 45078.2652727454. The cubic root of 2032050000 is about 1266.6154950088.

Adding to 2032050000 its reverse (502302), we get a palindrome (2032552302).

The spelling of 2032050000 in words is "two billion, thirty-two million, fifty thousand", and thus it is an eban number.