2145568680 has 96 divisors (see below), whose sum is σ = 6997241160. Its totient is φ = 570170880.

The previous prime is 2145568637. The next prime is 2145568693. The reversal of 2145568680 is 868655412.

2145568680 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 568 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2112873156 + 32695524 = 45966^2 + 5718^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95310 + ... + 115650.

Almost surely, 2^2145568680 is an apocalyptic number.

2145568680 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 2145568680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498620580).

2145568680 is an abundant number, since it is smaller than the sum of its proper divisors (4851672480).

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

2145568680 is a wasteful number, since it uses less digits than its factorization.

2145568680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20651 (or 20644 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2145568680 is about 46320.2836778878. The cubic root of 2145568680 is about 1289.7755513594.

The spelling of 2145568680 in words is "two billion, one hundred forty-five million, five hundred sixty-eight thousand, six hundred eighty".