2162412564 has 96 divisors (see below), whose sum is σ = 5648563200. Its totient is φ = 639360000.

The previous prime is 2162412559. The next prime is 2162412589. The reversal of 2162412564 is 4652142612.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 719064 + ... + 722064.

It is an arithmetic number, because the mean of its divisors is an integer number (58839200).

Almost surely, 2^2162412564 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 2162412564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824281600).

2162412564 is an abundant number, since it is smaller than the sum of its proper divisors (3486150636).

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

2162412564 is a wasteful number, since it uses less digits than its factorization.

2162412564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3201 (or 3199 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 2162412564 is about 46501.7479671464. The cubic root of 2162412564 is about 1293.1419045392.

The spelling of 2162412564 in words is "two billion, one hundred sixty-two million, four hundred twelve thousand, five hundred sixty-four".