2300715648 has 384 divisors, whose sum is σ = 8489370240. Its totient is φ = 580608000.

The previous prime is 2300715631. The next prime is 2300715671. The reversal of 2300715648 is 8465170032.

2300715648 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 7 + 1 + 5 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×2300715648³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3281698 + ... + 3282398.

It is an arithmetic number, because the mean of its divisors is an integer number (22107735).

Almost surely, 2^2300715648 is an apocalyptic number.

2300715648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300715648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244685120).

2300715648 is an abundant number, since it is smaller than the sum of its proper divisors (6188654592).

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

2300715648 is a wasteful number, since it uses less digits than its factorization.

2300715648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2300715648 is about 47965.7757990007. The cubic root of 2300715648 is about 1320.1430148076.

The spelling of 2300715648 in words is "two billion, three hundred million, seven hundred fifteen thousand, six hundred forty-eight".