2180096640 has 256 divisors, whose sum is σ = 7823808000. Its totient is φ = 573640704.

The previous prime is 2180096623. The next prime is 2180096671. The reversal of 2180096640 is 466900812.

2180096640 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 0 + 9 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2180096595 and 2180096604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1364322 + ... + 1365918.

It is an arithmetic number, because the mean of its divisors is an integer number (30561750).

Almost surely, 2^2180096640 is an apocalyptic number.

2180096640 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 2180096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911904000).

2180096640 is an abundant number, since it is smaller than the sum of its proper divisors (5643711360).

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

2180096640 is a wasteful number, since it uses less digits than its factorization.

2180096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2180096640 is about 46691.5050089414. The cubic root of 2180096640 is about 1296.6574168013.

The spelling of 2180096640 in words is "two billion, one hundred eighty million, ninety-six thousand, six hundred forty".