2010221001954 has 160 divisors (see below), whose sum is σ = 5260173177600. Its totient is φ = 567315070560.

The previous prime is 2010221001953. The next prime is 2010221002007. The reversal of 2010221001954 is 4591001220102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2010221001953) 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 79 ways as a sum of consecutive naturals, for example, 1494469 + ... + 2500775.

It is an arithmetic number, because the mean of its divisors is an integer number (32876082360).

Almost surely, 2^{2010221001954} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010221001954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630086588800).

2010221001954 is an abundant number, since it is smaller than the sum of its proper divisors (3249952175646).

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

2010221001954 is a wasteful number, since it uses less digits than its factorization.

2010221001954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006410 (or 1006401 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 2010221001954 in words is "two trillion, ten billion, two hundred twenty-one million, one thousand, nine hundred fifty-four".