2102215680 has 440 divisors, whose sum is σ = 7793223768. Its totient is φ = 541458432.

The previous prime is 2102215669. The next prime is 2102215681. The reversal of 2102215680 is 865122012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 656999424 + 1445216256 = 25632^2 + 38016^2 .

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 (2102215681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15344572 + ... + 15344708.

Almost surely, 2^2102215680 is an apocalyptic number.

2102215680 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 2102215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896611884).

2102215680 is an abundant number, since it is smaller than the sum of its proper divisors (5691008088).

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

2102215680 is a wasteful number, since it uses less digits than its factorization.

2102215680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2102215680 is about 45849.9256269844. The cubic root of 2102215680 is about 1281.0293802804.

Adding to 2102215680 its reverse (865122012), we get a palindrome (2967337692).

The spelling of 2102215680 in words is "two billion, one hundred two million, two hundred fifteen thousand, six hundred eighty".