2180052630 has 336 divisors, whose sum is σ = 7266788640. Its totient is φ = 467679744.

The previous prime is 2180052619. The next prime is 2180052643. The reversal of 2180052630 is 362500812.

2180052630 is a `hidden beast` number, since 21 + 8 + 0 + 0 + 5 + 2 + 630 = 666.

2180052630 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 2180052594 and 2180052603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6072391 + ... + 6072749.

Almost surely, 2^2180052630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2180052630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633394320).

2180052630 is an abundant number, since it is smaller than the sum of its proper divisors (5086736010).

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

2180052630 is a wasteful number, since it uses less digits than its factorization.

2180052630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 393 counting only the distinct ones).

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

The square root of 2180052630 is about 46691.0337216901. The cubic root of 2180052630 is about 1296.6486914577.

The spelling of 2180052630 in words is "two billion, one hundred eighty million, fifty-two thousand, six hundred thirty".