2306512128 has 144 divisors (see below), whose sum is σ = 6783267456. Its totient is φ = 692060160.

The previous prime is 2306512099. The next prime is 2306512133. The reversal of 2306512128 is 8212156032.

It is a super-2 number, since 2×2306512128² = 10639996393222176768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2306512095 and 2306512104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296448 + ... + 304128.

It is an arithmetic number, because the mean of its divisors is an integer number (47106024).

Almost surely, 2^2306512128 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 2306512128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391633728).

2306512128 is an abundant number, since it is smaller than the sum of its proper divisors (4476755328).

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

2306512128 is a wasteful number, since it uses less digits than its factorization.

2306512128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7740 (or 7726 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2306512128 is about 48026.1608709253. The cubic root of 2306512128 is about 1321.2507520462.

The spelling of 2306512128 in words is "two billion, three hundred six million, five hundred twelve thousand, one hundred twenty-eight".