2327653440 has 168 divisors, whose sum is σ = 9149974080. Its totient is φ = 532030464.

The previous prime is 2327653423. The next prime is 2327653441. The reversal of 2327653440 is 443567232.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 2327653395 and 2327653404.

It is not an unprimeable number, because it can be changed into a prime (2327653441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37570 + ... + 77889.

Almost surely, 2^2327653440 is an apocalyptic number.

2327653440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2327653440 is an abundant number, since it is smaller than the sum of its proper divisors (6822320640).

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

2327653440 is a wasteful number, since it uses less digits than its factorization.

2327653440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115489 (or 115476 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 2327653440 is about 48245.7608500477. The cubic root of 2327653440 is about 1325.2753081658.

The spelling of 2327653440 in words is "two billion, three hundred twenty-seven million, six hundred fifty-three thousand, four hundred forty".