2002133347400 has 48 divisors (see below), whose sum is σ = 4655230552500. Its totient is φ = 800806798080.

The previous prime is 2002133347397. The next prime is 2002133347427. The reversal of 2002133347400 is 47433312002.

It can be written as a sum of positive squares in 6 ways, for example, as 199660623556 + 1802472723844 = 446834^2 + 1342562^2 .

It is a super-2 number, since 2×2002133347400² (a number of 25 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 3267794 + ... + 3831806.

Almost surely, 2^{2002133347400} is an apocalyptic number.

2002133347400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002133347400 is an abundant number, since it is smaller than the sum of its proper divisors (2653097205100).

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

2002133347400 is a wasteful number, since it uses less digits than its factorization.

2002133347400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581778 (or 581769 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

Adding to 2002133347400 its reverse (47433312002), we get a palindrome (2049566659402).

The spelling of 2002133347400 in words is "two trillion, two billion, one hundred thirty-three million, three hundred forty-seven thousand, four hundred".