2011034022320 has 80 divisors (see below), whose sum is σ = 5165940162240. Its totient is φ = 724177969152.

The previous prime is 2011034022293. The next prime is 2011034022391. The reversal of 2011034022320 is 232204301102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2011034022292 and 2011034022301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32114405 + ... + 32176964.

It is an arithmetic number, because the mean of its divisors is an integer number (64574252028).

Almost surely, 2^{2011034022320} is an apocalyptic number.

2011034022320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011034022320 is an abundant number, since it is smaller than the sum of its proper divisors (3154906139920).

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

2011034022320 is a wasteful number, since it uses less digits than its factorization.

2011034022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64291422 (or 64291416 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2011034022320 its reverse (232204301102), we get a palindrome (2243238323422).

The spelling of 2011034022320 in words is "two trillion, eleven billion, thirty-four million, twenty-two thousand, three hundred twenty".