2011321600 has 108 divisors (see below), whose sum is σ = 5018428800. Its totient is φ = 798054400.

The previous prime is 2011321577. The next prime is 2011321607. The reversal of 2011321600 is 61231102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011321607) 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, 837201 + ... + 839599.

Almost surely, 2^2011321600 is an apocalyptic number.

2011321600 is a gapful number since it is divisible by the number (20) 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 2011321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509214400).

2011321600 is an abundant number, since it is smaller than the sum of its proper divisors (3007107200).

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

2011321600 is a wasteful number, since it uses less digits than its factorization.

2011321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2011321600 is about 44847.7602562268. The cubic root of 2011321600 is about 1262.2939650053.

Adding to 2011321600 its reverse (61231102), we get a palindrome (2072552702).

The spelling of 2011321600 in words is "two billion, eleven million, three hundred twenty-one thousand, six hundred".