2121189264 has 60 divisors (see below), whose sum is σ = 5949558316. Its totient is φ = 705494016.

The previous prime is 2121189211. The next prime is 2121189341. The reversal of 2121189264 is 4629811212.

2121189264 is a `hidden beast` number, since 212 + 1 + 189 + 264 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1705029264 + 416160000 = 41292^2 + 20400^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49692 + ... + 81924.

Almost surely, 2^2121189264 is an apocalyptic number.

2121189264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2121189264 is an abundant number, since it is smaller than the sum of its proper divisors (3828369052).

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

2121189264 is a wasteful number, since it uses less digits than its factorization.

2121189264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32704 (or 32695 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2121189264 is about 46056.3705039813. The cubic root of 2121189264 is about 1284.8718276172.

The spelling of 2121189264 in words is "two billion, one hundred twenty-one million, one hundred eighty-nine thousand, two hundred sixty-four".