2102830632 has 192 divisors, whose sum is σ = 6916291200. Its totient is φ = 585999360.

The previous prime is 2102830621. The next prime is 2102830663. The reversal of 2102830632 is 2360382012.

2102830632 is a `hidden beast` number, since 2 + 1 + 0 + 28 + 3 + 0 + 632 = 666.

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 = 2102830596 and 2102830605.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 556044 + ... + 559812.

It is an arithmetic number, because the mean of its divisors is an integer number (36022350).

Almost surely, 2^2102830632 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 2102830632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458145600).

2102830632 is an abundant number, since it is smaller than the sum of its proper divisors (4813460568).

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

2102830632 is a wasteful number, since it uses less digits than its factorization.

2102830632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2102830632 is about 45856.6312761851. The cubic root of 2102830632 is about 1281.1542794181.

The spelling of 2102830632 in words is "two billion, one hundred two million, eight hundred thirty thousand, six hundred thirty-two".