2001214211024 has 80 divisors (see below), whose sum is σ = 4488352965120. Its totient is φ = 846617840640.

The previous prime is 2001214211011. The next prime is 2001214211027. The reversal of 2001214211024 is 4201124121002.

It is a junction number, because it is equal to n+sod(n) for n = 2001214210987 and 2001214211005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001214211027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43978364 + ... + 44023844.

It is an arithmetic number, because the mean of its divisors is an integer number (56104412064).

Almost surely, 2^{2001214211024} 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 2001214211024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244176482560).

2001214211024 is an abundant number, since it is smaller than the sum of its proper divisors (2487138754096).

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

2001214211024 is a wasteful number, since it uses less digits than its factorization.

2001214211024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50548 (or 50542 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2001214211024 its reverse (4201124121002), we get a palindrome (6202338332026).

The spelling of 2001214211024 in words is "two trillion, one billion, two hundred fourteen million, two hundred eleven thousand, twenty-four".