2646306630 has 288 divisors, whose sum is σ = 8149220352. Its totient is φ = 590198400.

The previous prime is 2646306629. The next prime is 2646306631. The reversal of 2646306630 is 366036462.

2646306630 is a `hidden beast` number, since 2 + 646 + 3 + 0 + 6 + 6 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2646306629) and next prime (2646306631).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2646306631) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16234929 + ... + 16235091.

It is an arithmetic number, because the mean of its divisors is an integer number (28295904).

Almost surely, 2^2646306630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2646306630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074610176).

2646306630 is an abundant number, since it is smaller than the sum of its proper divisors (5502913722).

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

2646306630 is a wasteful number, since it uses less digits than its factorization.

2646306630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 2646306630 is about 51442.2650162296. The cubic root of 2646306630 is about 1383.1843132969.

The spelling of 2646306630 in words is "two billion, six hundred forty-six million, three hundred six thousand, six hundred thirty".