2300978736 has 240 divisors, whose sum is σ = 7791763200. Its totient is φ = 619218432.

The previous prime is 2300978723. The next prime is 2300978737. The reversal of 2300978736 is 6378790032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2300978691 and 2300978700.

It is not an unprimeable number, because it can be changed into a prime (2300978737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6070995 + ... + 6071373.

It is an arithmetic number, because the mean of its divisors is an integer number (32465680).

Almost surely, 2^2300978736 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 2300978736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895881600).

2300978736 is an abundant number, since it is smaller than the sum of its proper divisors (5490784464).

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

2300978736 is a wasteful number, since it uses less digits than its factorization.

2300978736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2300978736 is about 47968.5181759871. The cubic root of 2300978736 is about 1320.1933325639.

The spelling of 2300978736 in words is "two billion, three hundred million, nine hundred seventy-eight thousand, seven hundred thirty-six".