2032400201000 has 256 divisors, whose sum is σ = 5430393783360. Its totient is φ = 705309081600.

The previous prime is 2032400200991. The next prime is 2032400201021. The reversal of 2032400201000 is 1020042302.

It can be written as a sum of positive squares in 32 ways, for example, as 577669922116 + 1454730278884 = 760046^2 + 1206122^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170827052 + ... + 170838948.

Almost surely, 2^{2032400201000} is an apocalyptic number.

2032400201000 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 2032400201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715196891680).

2032400201000 is an abundant number, since it is smaller than the sum of its proper divisors (3397993582360).

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

2032400201000 is a wasteful number, since it uses less digits than its factorization.

2032400201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12721 (or 12707 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 2032400201000 its reverse (1020042302), we get a palindrome (2033420243302).

The spelling of 2032400201000 in words is "two trillion, thirty-two billion, four hundred million, two hundred one thousand".