2011273648472 has 256 divisors, whose sum is σ = 4630383636480. Its totient is φ = 808007270400.

The previous prime is 2011273648469. The next prime is 2011273648511. The reversal of 2011273648472 is 2748463721102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 742988543 + ... + 742991249.

It is an arithmetic number, because the mean of its divisors is an integer number (18087436080).

Almost surely, 2^{2011273648472} is an apocalyptic number.

2011273648472 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 2011273648472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315191818240).

2011273648472 is an abundant number, since it is smaller than the sum of its proper divisors (2619109988008).

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

2011273648472 is a wasteful number, since it uses less digits than its factorization.

2011273648472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 47.

The spelling of 2011273648472 in words is "two trillion, eleven billion, two hundred seventy-three million, six hundred forty-eight thousand, four hundred seventy-two".