2187636672 has 112 divisors (see below), whose sum is σ = 6385694112. Its totient is φ = 656670720.

The previous prime is 2187636641. The next prime is 2187636677. The reversal of 2187636672 is 2766367812.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2187636677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91648 + ... + 113024.

It is an arithmetic number, because the mean of its divisors is an integer number (57015126).

Almost surely, 2^2187636672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2187636672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192847056).

2187636672 is an abundant number, since it is smaller than the sum of its proper divisors (4198057440).

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

2187636672 is a wasteful number, since it uses less digits than its factorization.

2187636672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21446 (or 21436 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 2187636672 is about 46772.1783969915. The cubic root of 2187636672 is about 1298.1505598923.

The spelling of 2187636672 in words is "two billion, one hundred eighty-seven million, six hundred thirty-six thousand, six hundred seventy-two".