6042039120 has 240 divisors, whose sum is σ = 22100616720. Its totient is φ = 1470357504.

The previous prime is 6042039077. The next prime is 6042039131. The reversal of 6042039120 is 219302406.

6042039120 is a `hidden beast` number, since 604 + 2 + 0 + 39 + 1 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 572549184 + 5469489936 = 23928^2 + 73956^2 .

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

It is a super-2 number, since 2×6042039120² = 73012473455220748800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 829414 + ... + 836666.

It is an arithmetic number, because the mean of its divisors is an integer number (92085903).

Almost surely, 2^6042039120 is an apocalyptic number.

6042039120 is a gapful number since it is divisible by the number (60) 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 6042039120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11050308360).

6042039120 is an abundant number, since it is smaller than the sum of its proper divisors (16058577600).

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

6042039120 is a wasteful number, since it uses less digits than its factorization.

6042039120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7374 (or 7365 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6042039120 is about 77730.5546101403. The cubic root of 6042039120 is about 1821.3546168424.

The spelling of 6042039120 in words is "six billion, forty-two million, thirty-nine thousand, one hundred twenty".