2011734670792 has 192 divisors, whose sum is σ = 5176151942400. Its totient is φ = 721990563840.

The previous prime is 2011734670783. The next prime is 2011734670811. The reversal of 2011734670792 is 2970764371102.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 3153334 + ... + 3737242.

It is an arithmetic number, because the mean of its divisors is an integer number (26959124700).

Almost surely, 2^{2011734670792} is an apocalyptic number.

2011734670792 is a gapful number since it is divisible by the number (22) 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 2011734670792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588075971200).

2011734670792 is an abundant number, since it is smaller than the sum of its proper divisors (3164417271608).

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

2011734670792 is a wasteful number, since it uses less digits than its factorization.

2011734670792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584004 (or 583993 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 49.

The spelling of 2011734670792 in words is "two trillion, eleven billion, seven hundred thirty-four million, six hundred seventy thousand, seven hundred ninety-two".