2101338720 has 768 divisors, whose sum is σ = 8778792960. Its totient is φ = 464486400.

The previous prime is 2101338671. The next prime is 2101338721. The reversal of 2101338720 is 278331012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101338721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29596285 + ... + 29596355.

It is an arithmetic number, because the mean of its divisors is an integer number (11430720).

Almost surely, 2^2101338720 is an apocalyptic number.

2101338720 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 2101338720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389396480).

2101338720 is an abundant number, since it is smaller than the sum of its proper divisors (6677454240).

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

2101338720 is a wasteful number, since it uses less digits than its factorization.

2101338720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2101338720 is about 45840.3612551210. The cubic root of 2101338720 is about 1280.8512241590.

Adding to 2101338720 its reverse (278331012), we get a palindrome (2379669732).

The spelling of 2101338720 in words is "two billion, one hundred one million, three hundred thirty-eight thousand, seven hundred twenty".