2006191914900 has 72 divisors (see below), whose sum is σ = 5830611650304. Its totient is φ = 532585459200.

The previous prime is 2006191914899. The next prime is 2006191914917. The reversal of 2006191914900 is 94191916002.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 14927061 + ... + 15060860.

Almost surely, 2^{2006191914900} is an apocalyptic number.

2006191914900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006191914900 is an abundant number, since it is smaller than the sum of its proper divisors (3824419735404).

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

2006191914900 is a wasteful number, since it uses less digits than its factorization.

2006191914900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29988161 (or 29988154 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The spelling of 2006191914900 in words is "two trillion, six billion, one hundred ninety-one million, nine hundred fourteen thousand, nine hundred".