2181735072 has 72 divisors (see below), whose sum is σ = 6768347040. Its totient is φ = 661130880.

The previous prime is 2181735071. The next prime is 2181735077. The reversal of 2181735072 is 2705371812.

2181735072 is a `hidden beast` number, since 2 + 1 + 81 + 73 + 507 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (2181735071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341172 + ... + 347507.

It is an arithmetic number, because the mean of its divisors is an integer number (94004820).

Almost surely, 2^2181735072 is an apocalyptic number.

2181735072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2181735072 is an abundant number, since it is smaller than the sum of its proper divisors (4586611968).

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

2181735072 is a wasteful number, since it uses less digits than its factorization.

2181735072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688706 (or 688695 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 2181735072 is about 46709.0470037658. The cubic root of 2181735072 is about 1296.9821658630.

The spelling of 2181735072 in words is "two billion, one hundred eighty-one million, seven hundred thirty-five thousand, seventy-two".