2001156256224 has 72 divisors (see below), whose sum is σ = 5692264420752. Its totient is φ = 666879037440.

The previous prime is 2001156256223. The next prime is 2001156256243. The reversal of 2001156256224 is 4226526511002.

2001156256224 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 1 + 5 + 6 + 25 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001156256223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213184 + ... + 2011904.

It is an arithmetic number, because the mean of its divisors is an integer number (79059228066).

Almost surely, 2^{2001156256224} is an apocalyptic number.

2001156256224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2001156256224 is an abundant number, since it is smaller than the sum of its proper divisors (3691108164528).

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

2001156256224 is a wasteful number, since it uses less digits than its factorization.

2001156256224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802600 (or 1802589 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 2001156256224 in words is "two trillion, one billion, one hundred fifty-six million, two hundred fifty-six thousand, two hundred twenty-four".