2163261440 has 60 divisors (see below), whose sum is σ = 5191865616. Its totient is φ = 865271808.

The previous prime is 2163261421. The next prime is 2163261461. The reversal of 2163261440 is 441623612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68717 + ... + 95123.

Almost surely, 2^2163261440 is an apocalyptic number.

2163261440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2163261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595932808).

2163261440 is an abundant number, since it is smaller than the sum of its proper divisors (3028604176).

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

2163261440 is an frugal number, since it uses more digits than its factorization.

2163261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26440 (or 26414 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 2163261440 is about 46510.8744273853. The cubic root of 2163261440 is about 1293.3110941961.

The spelling of 2163261440 in words is "two billion, one hundred sixty-three million, two hundred sixty-one thousand, four hundred forty".