240120192 has 128 divisors (see below), whose sum is σ = 695036160. Its totient is φ = 73009152.

The previous prime is 240120191. The next prime is 240120337. The reversal of 240120192 is 291021042.

240120192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×240120192² = 115315413212233728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240120191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513943 + ... + 514409.

It is an arithmetic number, because the mean of its divisors is an integer number (5429970).

Almost surely, 2^240120192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347518080).

240120192 is an abundant number, since it is smaller than the sum of its proper divisors (454915968).

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

240120192 is a wasteful number, since it uses less digits than its factorization.

240120192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 240120192 is about 15495.8120793975. The cubic root of 240120192 is about 621.5502240138.

The spelling of 240120192 in words is "two hundred forty million, one hundred twenty thousand, one hundred ninety-two".