2005677630 has 96 divisors (see below), whose sum is σ = 5719154688. Its totient is φ = 483633600.

The previous prime is 2005677623. The next prime is 2005677643. The reversal of 2005677630 is 367765002.

It is a happy number.

2005677630 is a `hidden beast` number, since 20 + 0 + 567 + 76 + 3 + 0 = 666.

It is a congruent number.

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, 183787 + ... + 194393.

It is an arithmetic number, because the mean of its divisors is an integer number (59574528).

Almost surely, 2^2005677630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005677630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859577344).

2005677630 is an abundant number, since it is smaller than the sum of its proper divisors (3713477058).

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

2005677630 is a wasteful number, since it uses less digits than its factorization.

2005677630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10822 (or 10819 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 2005677630 is about 44784.7923965267. The cubic root of 2005677630 is about 1261.1121510913.

The spelling of 2005677630 in words is "two billion, five million, six hundred seventy-seven thousand, six hundred thirty".