2011210223232 has 128 divisors (see below), whose sum is σ = 6113682984960. Its totient is φ = 573857528832.

The previous prime is 2011210223177. The next prime is 2011210223329. The reversal of 2011210223232 is 2323220121102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2011210223232² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2011210223199 and 2011210223208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1493673 + ... + 2500695.

It is an arithmetic number, because the mean of its divisors is an integer number (47763148320).

Almost surely, 2^{2011210223232} 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 2011210223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056841492480).

2011210223232 is an abundant number, since it is smaller than the sum of its proper divisors (4102472761728).

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

2011210223232 is a wasteful number, since it uses less digits than its factorization.

2011210223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007790 (or 1007778 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2011210223232 its reverse (2323220121102), we get a palindrome (4334430344334).

The spelling of 2011210223232 in words is "two trillion, eleven billion, two hundred ten million, two hundred twenty-three thousand, two hundred thirty-two".