2011364740600 has 192 divisors, whose sum is σ = 4906373472000. Its totient is φ = 765967641600.

The previous prime is 2011364740597. The next prime is 2011364740699. The reversal of 2011364740600 is 60474631102.

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 47 ways as a sum of consecutive naturals, for example, 549701571 + ... + 549705229.

It is an arithmetic number, because the mean of its divisors is an integer number (25554028500).

Almost surely, 2^{2011364740600} is an apocalyptic number.

2011364740600 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 2011364740600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453186736000).

2011364740600 is an abundant number, since it is smaller than the sum of its proper divisors (2895008731400).

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

2011364740600 is a wasteful number, since it uses less digits than its factorization.

2011364740600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 2011364740600 in words is "two trillion, eleven billion, three hundred sixty-four million, seven hundred forty thousand, six hundred".