2001331400 has 24 divisors (see below), whose sum is σ = 4653095970. Its totient is φ = 800532480.

The previous prime is 2001331399. The next prime is 2001331429. The reversal of 2001331400 is 41331002.

It can be written as a sum of positive squares in 3 ways, for example, as 1613950276 + 387381124 = 40174^2 + 19682^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5003129 + ... + 5003528.

Almost surely, 2^2001331400 is an apocalyptic number.

2001331400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001331400 is an abundant number, since it is smaller than the sum of its proper divisors (2651764570).

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

2001331400 is a wasteful number, since it uses less digits than its factorization.

2001331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10006673 (or 10006664 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2001331400 is about 44736.2425780262. The cubic root of 2001331400 is about 1260.2005643608.

Adding to 2001331400 its reverse (41331002), we get a palindrome (2042662402).

The spelling of 2001331400 in words is "two billion, one million, three hundred thirty-one thousand, four hundred".