2011431204224 has 64 divisors (see below), whose sum is σ = 4420643834880. Its totient is φ = 905710080000.

The previous prime is 2011431204169. The next prime is 2011431204229. The reversal of 2011431204224 is 4224021341102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 2011431204193 and 2011431204202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011431204229) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14673152 + ... + 14809599.

It is an arithmetic number, because the mean of its divisors is an integer number (69072559920).

Almost surely, 2^{2011431204224} is an apocalyptic number.

It is an amenable number.

2011431204224 is an abundant number, since it is smaller than the sum of its proper divisors (2409212630656).

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

2011431204224 is a wasteful number, since it uses less digits than its factorization.

2011431204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29482819 (or 29482807 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 2011431204224 its reverse (4224021341102), we get a palindrome (6235452545326).

The spelling of 2011431204224 in words is "two trillion, eleven billion, four hundred thirty-one million, two hundred four thousand, two hundred twenty-four".