2123360946 has 64 divisors (see below), whose sum is σ = 5457715200. Its totient is φ = 599356368.

The previous prime is 2123360933. The next prime is 2123360963. The reversal of 2123360946 is 6490633212.

2123360946 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 3 + 609 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2123360946.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2466 + ... + 65213.

It is an arithmetic number, because the mean of its divisors is an integer number (85276800).

Almost surely, 2^2123360946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123360946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728857600).

2123360946 is an abundant number, since it is smaller than the sum of its proper divisors (3334354254).

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

2123360946 is a wasteful number, since it uses less digits than its factorization.

2123360946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67780 (or 67774 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2123360946 is about 46079.9408202745. The cubic root of 2123360946 is about 1285.3101636892.

The spelling of 2123360946 in words is "two billion, one hundred twenty-three million, three hundred sixty thousand, nine hundred forty-six".