2300764313484 has 192 divisors, whose sum is σ = 7378368256000. Its totient is φ = 603745249536.

The previous prime is 2300764313459. The next prime is 2300764313489. The reversal of 2300764313484 is 4843134670032.

2300764313484 is a `hidden beast` number, since 230 + 0 + 7 + 64 + 313 + 48 + 4 = 666.

2300764313484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2300764313489) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1367574 + ... + 2543970.

Almost surely, 2^{2300764313484} 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 2300764313484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689184128000).

2300764313484 is an abundant number, since it is smaller than the sum of its proper divisors (5077603942516).

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

2300764313484 is a wasteful number, since it uses less digits than its factorization.

2300764313484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176629 (or 1176621 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 2300764313484 in words is "two trillion, three hundred billion, seven hundred sixty-four million, three hundred thirteen thousand, four hundred eighty-four".