2314880636832 has 144 divisors (see below), whose sum is σ = 6761813326632. Its totient is φ = 750666147840.

The previous prime is 2314880636813. The next prime is 2314880636833. The reversal of 2314880636832 is 2386360884132.

2314880636832 is a `hidden beast` number, since 23 + 1 + 488 + 0 + 63 + 6 + 83 + 2 = 666.

2314880636832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1741038026256 + 573842610576 = 1319484^2 + 757524^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2314880636833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118452982 + ... + 118472522.

Almost surely, 2^{2314880636832} 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 2314880636832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380906663316).

2314880636832 is an abundant number, since it is smaller than the sum of its proper divisors (4446932689800).

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

2314880636832 is a wasteful number, since it uses less digits than its factorization.

2314880636832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30711 (or 30700 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 2314880636832 in words is "two trillion, three hundred fourteen billion, eight hundred eighty million, six hundred thirty-six thousand, eight hundred thirty-two".