2011293029382 has 192 divisors, whose sum is σ = 5128746739200. Its totient is φ = 522502529472.

The previous prime is 2011293029351. The next prime is 2011293029443. The reversal of 2011293029382 is 2839203921102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120090333 + ... + 120107079.

It is an arithmetic number, because the mean of its divisors is an integer number (26712222600).

Almost surely, 2^{2011293029382} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011293029382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564373369600).

2011293029382 is an abundant number, since it is smaller than the sum of its proper divisors (3117453709818).

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

2011293029382 is a wasteful number, since it uses less digits than its factorization.

2011293029382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16920 (or 16839 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 2011293029382 in words is "two trillion, eleven billion, two hundred ninety-three million, twenty-nine thousand, three hundred eighty-two".