2182561536 has 72 divisors (see below), whose sum is σ = 5848088400. Its totient is φ = 722599936.

The previous prime is 2182561523. The next prime is 2182561543. The reversal of 2182561536 is 6351652812.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2182561494 and 2182561503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104896 + ... + 123968.

It is an arithmetic number, because the mean of its divisors is an integer number (81223450).

Almost surely, 2^2182561536 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 2182561536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924044200).

2182561536 is an abundant number, since it is smaller than the sum of its proper divisors (3665526864).

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

2182561536 is a wasteful number, since it uses less digits than its factorization.

2182561536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19241 (or 19227 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 2182561536 is about 46717.8931031784. The cubic root of 2182561536 is about 1297.1459153119.

The spelling of 2182561536 in words is "two billion, one hundred eighty-two million, five hundred sixty-one thousand, five hundred thirty-six".