2330135280 has 240 divisors, whose sum is σ = 8579450880. Its totient is φ = 562060800.

The previous prime is 2330135207. The next prime is 2330135287. The reversal of 2330135280 is 825310332.

2330135280 is a `hidden beast` number, since 2 + 3 + 301 + 352 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330135287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1892265 + ... + 1893495.

It is an arithmetic number, because the mean of its divisors is an integer number (35747712).

Almost surely, 2^2330135280 is an apocalyptic number.

2330135280 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 2330135280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289725440).

2330135280 is an abundant number, since it is smaller than the sum of its proper divisors (6249315600).

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

2330135280 is a wasteful number, since it uses less digits than its factorization.

2330135280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2330135280 is about 48271.4748065563. The cubic root of 2330135280 is about 1325.7461619031.

The spelling of 2330135280 in words is "two billion, three hundred thirty million, one hundred thirty-five thousand, two hundred eighty".