2011292322816 has 352 divisors, whose sum is σ = 6363168606720. Its totient is φ = 552821981184.

The previous prime is 2011292322811. The next prime is 2011292322817. The reversal of 2011292322816 is 6182232921102.

It is not an unprimeable number, because it can be changed into a prime (2011292322811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70798471 + ... + 70826873.

Almost surely, 2^{2011292322816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011292322816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181584303360).

2011292322816 is an abundant number, since it is smaller than the sum of its proper divisors (4351876283904).

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

2011292322816 is a wasteful number, since it uses less digits than its factorization.

2011292322816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28559 (or 28541 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 2011292322816 in words is "two trillion, eleven billion, two hundred ninety-two million, three hundred twenty-two thousand, eight hundred sixteen".