2307523680 has 576 divisors, whose sum is σ = 10259343360. Its totient is φ = 479001600.

The previous prime is 2307523627. The next prime is 2307523693. The reversal of 2307523680 is 863257032.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2327985 + ... + 2328975.

It is an arithmetic number, because the mean of its divisors is an integer number (17811360).

Almost surely, 2^2307523680 is an apocalyptic number.

2307523680 is a gapful number since it is divisible by the number (20) 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 2307523680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129671680).

2307523680 is an abundant number, since it is smaller than the sum of its proper divisors (7951819680).

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

2307523680 is a wasteful number, since it uses less digits than its factorization.

2307523680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2307523680 is about 48036.6909767940. The cubic root of 2307523680 is about 1321.4438745955.

It can be divided in two parts, 230752 and 3680, that added together give a palindrome (234432).

The spelling of 2307523680 in words is "two billion, three hundred seven million, five hundred twenty-three thousand, six hundred eighty".