2135565630 has 192 divisors, whose sum is σ = 6275475648. Its totient is φ = 499322880.

The previous prime is 2135565613. The next prime is 2135565637. The reversal of 2135565630 is 365655312.

2135565630 is a `hidden beast` number, since 2 + 1 + 35 + 565 + 63 + 0 = 666.

It is a super-3 number, since 3×2135565630³ (a number of 29 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135565637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6336822 + ... + 6337158.

It is an arithmetic number, because the mean of its divisors is an integer number (32684769).

Almost surely, 2^2135565630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135565630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137737824).

2135565630 is an abundant number, since it is smaller than the sum of its proper divisors (4139910018).

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

2135565630 is a wasteful number, since it uses less digits than its factorization.

2135565630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 2135565630 is about 46212.1805371701. The cubic root of 2135565630 is about 1287.7680351878.

It can be divided in two parts, 2135 and 565630, that added together give a palindrome (567765).

The spelling of 2135565630 in words is "two billion, one hundred thirty-five million, five hundred sixty-five thousand, six hundred thirty".