2180056032 has 432 divisors, whose sum is σ = 8100683136. Its totient is φ = 564537600.

The previous prime is 2180055967. The next prime is 2180056057. The reversal of 2180056032 is 2306500812.

2180056032 is a `hidden beast` number, since 21 + 80 + 0 + 560 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2180055987 and 2180056005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6586107 + ... + 6586437.

Almost surely, 2^2180056032 is an apocalyptic number.

2180056032 is a gapful number since it is divisible by the number (22) 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 2180056032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050341568).

2180056032 is an abundant number, since it is smaller than the sum of its proper divisors (5920627104).

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

2180056032 is a wasteful number, since it uses less digits than its factorization.

2180056032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2180056032 is about 46691.0701526534. The cubic root of 2180056032 is about 1296.6493659363.

Adding to 2180056032 its reverse (2306500812), we get a palindrome (4486556844).

The spelling of 2180056032 in words is "two billion, one hundred eighty million, fifty-six thousand, thirty-two".