2011001328 has 120 divisors (see below), whose sum is σ = 6465964128. Its totient is φ = 571539456.

The previous prime is 2011001309. The next prime is 2011001329. The reversal of 2011001328 is 8231001102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2011001328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011001329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189376 + ... + 199712.

Almost surely, 2^2011001328 is an apocalyptic number.

2011001328 is a gapful number since it is divisible by the number (28) 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 2011001328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232982064).

2011001328 is an abundant number, since it is smaller than the sum of its proper divisors (4454962800).

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

2011001328 is a wasteful number, since it uses less digits than its factorization.

2011001328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10551 (or 10542 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2011001328 is about 44844.1894563833. The cubic root of 2011001328 is about 1262.2269611552.

The spelling of 2011001328 in words is "two billion, eleven million, one thousand, three hundred twenty-eight".