2162361456 has 120 divisors (see below), whose sum is σ = 6179247360. Its totient is φ = 705744000.

The previous prime is 2162361433. The next prime is 2162361473. The reversal of 2162361456 is 6541632612.

2162361456 is a `hidden beast` number, since 2 + 16 + 23 + 614 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2162361456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1489531 + ... + 1490981.

It is an arithmetic number, because the mean of its divisors is an integer number (51493728).

Almost surely, 2^2162361456 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 2162361456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089623680).

2162361456 is an abundant number, since it is smaller than the sum of its proper divisors (4016885904).

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

2162361456 is a wasteful number, since it uses less digits than its factorization.

2162361456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1666 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2162361456 is about 46501.1984361694. The cubic root of 2162361456 is about 1293.1317167798.

The spelling of 2162361456 in words is "two billion, one hundred sixty-two million, three hundred sixty-one thousand, four hundred fifty-six".