2011205024532 has 144 divisors (see below), whose sum is σ = 5838681139200. Its totient is φ = 577306889280.

The previous prime is 2011205024531. The next prime is 2011205024573. The reversal of 2011205024532 is 2354205021102.

2011205024532 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 205 + 0 + 2 + 453 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2011205024496 and 2011205024505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011205024531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97493203 + ... + 97513829.

It is an arithmetic number, because the mean of its divisors is an integer number (40546396800).

Almost surely, 2^{2011205024532} is an apocalyptic number.

2011205024532 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 2011205024532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919340569600).

2011205024532 is an abundant number, since it is smaller than the sum of its proper divisors (3827476114668).

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

2011205024532 is a wasteful number, since it uses less digits than its factorization.

2011205024532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33626 (or 33621 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 2011205024532 in words is "two trillion, eleven billion, two hundred five million, twenty-four thousand, five hundred thirty-two".