2330475840 has 896 divisors, whose sum is σ = 10674339840. Its totient is φ = 464486400.

The previous prime is 2330475811. The next prime is 2330475853. The reversal of 2330475840 is 485740332.

It is a happy number.

2330475840 is a `hidden beast` number, since 2 + 3 + 30 + 47 + 584 + 0 = 666.

It is a super-2 number, since 2×2330475840² = 10862235281647411200, which contains 22 as substring.

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 = 2330475795 and 2330475804.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 20623624 + ... + 20623736.

Almost surely, 2^2330475840 is an apocalyptic number.

2330475840 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 2330475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337169920).

2330475840 is an abundant number, since it is smaller than the sum of its proper divisors (8343864000).

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

2330475840 is a wasteful number, since it uses less digits than its factorization.

2330475840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2330475840 is about 48275.0022268254. The cubic root of 2330475840 is about 1325.8107467253.

The spelling of 2330475840 in words is "two billion, three hundred thirty million, four hundred seventy-five thousand, eight hundred forty".