2306436642 has 96 divisors (see below), whose sum is σ = 5569274880. Its totient is φ = 687012480.

The previous prime is 2306436607. The next prime is 2306436677. The reversal of 2306436642 is 2466346032.

2306436642 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 4 + 3 + 6 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (2306436607) and next prime (2306436677).

It is a junction number, because it is equal to n+sod(n) for n = 2306436597 and 2306436606.

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, 369088 + ... + 375284.

It is an arithmetic number, because the mean of its divisors is an integer number (58013280).

Almost surely, 2^2306436642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2306436642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784637440).

2306436642 is an abundant number, since it is smaller than the sum of its proper divisors (3262838238).

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

2306436642 is a wasteful number, since it uses less digits than its factorization.

2306436642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288 (or 6285 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 2306436642 is about 48025.3749803164. The cubic root of 2306436642 is about 1321.2363382160.

The spelling of 2306436642 in words is "two billion, three hundred six million, four hundred thirty-six thousand, six hundred forty-two".