2306133648 has 360 divisors, whose sum is σ = 8356298496. Its totient is φ = 587865600.

The previous prime is 2306133637. The next prime is 2306133659. The reversal of 2306133648 is 8463316032.

2306133648 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 1 + 3 + 3 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (2306133637) and next prime (2306133659).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2843163 + ... + 2843973.

Almost surely, 2^2306133648 is an apocalyptic number.

2306133648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2306133648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178149248).

2306133648 is an abundant number, since it is smaller than the sum of its proper divisors (6050164848).

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

2306133648 is a wasteful number, since it uses less digits than its factorization.

2306133648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2306133648 is about 48022.2203568306. The cubic root of 2306133648 is about 1321.1784792360.

The spelling of 2306133648 in words is "two billion, three hundred six million, one hundred thirty-three thousand, six hundred forty-eight".