2101418560 has 56 divisors (see below), whose sum is σ = 5017495680. Its totient is φ = 838301184.

The previous prime is 2101418519. The next prime is 2101418567. The reversal of 2101418560 is 658141012.

It is not an unprimeable number, because it can be changed into a prime (2101418567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112617 + ... + 129943.

Almost surely, 2^2101418560 is an apocalyptic number.

2101418560 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 2101418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508747840).

2101418560 is an abundant number, since it is smaller than the sum of its proper divisors (2916077120).

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

2101418560 is a wasteful number, since it uses less digits than its factorization.

2101418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17723 (or 17713 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 2101418560 is about 45841.2320951346. The cubic root of 2101418560 is about 1280.8674458602.

Adding to 2101418560 its reverse (658141012), we get a palindrome (2759559572).

It can be divided in two parts, 210 and 1418560, that added together give a triangular number (1418770 = T₁₆₈₄).

The spelling of 2101418560 in words is "two billion, one hundred one million, four hundred eighteen thousand, five hundred sixty".