2306935680 has 512 divisors, whose sum is σ = 8930304000. Its totient is φ = 505774080.

The previous prime is 2306935651. The next prime is 2306935691. The reversal of 2306935680 is 865396032.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20415304 + ... + 20415416.

It is an arithmetic number, because the mean of its divisors is an integer number (17442000).

Almost surely, 2^2306935680 is an apocalyptic number.

2306935680 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 2306935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4465152000).

2306935680 is an abundant number, since it is smaller than the sum of its proper divisors (6623368320).

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

2306935680 is a wasteful number, since it uses less digits than its factorization.

2306935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 2306935680 is about 48030.5702651967. The cubic root of 2306935680 is about 1321.3316222254.

The spelling of 2306935680 in words is "two billion, three hundred six million, nine hundred thirty-five thousand, six hundred eighty".