2327905440 has 384 divisors, whose sum is σ = 9719377920. Its totient is φ = 508806144.

The previous prime is 2327905439. The next prime is 2327905453. The reversal of 2327905440 is 445097232.

2327905440 is a `hidden beast` number, since 2 + 3 + 27 + 90 + 544 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2327905395 and 2327905404.

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, 693847 + ... + 697193.

It is an arithmetic number, because the mean of its divisors is an integer number (25310880).

Almost surely, 2^2327905440 is an apocalyptic number.

2327905440 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 2327905440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4859688960).

2327905440 is an abundant number, since it is smaller than the sum of its proper divisors (7391472480).

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

2327905440 is a wasteful number, since it uses less digits than its factorization.

2327905440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3387 counting only the distinct ones).

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

The square root of 2327905440 is about 48248.3724077818. The cubic root of 2327905440 is about 1325.3231327718.

The spelling of 2327905440 in words is "two billion, three hundred twenty-seven million, nine hundred five thousand, four hundred forty".