240052120 has 128 divisors (see below), whose sum is σ = 685324800. Its totient is φ = 73497600.

The previous prime is 240052097. The next prime is 240052139. The reversal of 240052120 is 21250042.

It is a junction number, because it is equal to n+sod(n) for n = 240052094 and 240052103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181060 + ... + 182380.

It is an arithmetic number, because the mean of its divisors is an integer number (5354100).

Almost surely, 2^240052120 is an apocalyptic number.

240052120 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 240052120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342662400).

240052120 is an abundant number, since it is smaller than the sum of its proper divisors (445272680).

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

240052120 is a wasteful number, since it uses less digits than its factorization.

240052120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 240052120 is about 15493.6154592787. The cubic root of 240052120 is about 621.4914837564.

The spelling of 240052120 in words is "two hundred forty million, fifty-two thousand, one hundred twenty".