2400042120 has 256 divisors, whose sum is σ = 8487936000. Its totient is φ = 531588096.

The previous prime is 2400042101. The next prime is 2400042131. The reversal of 2400042120 is 212400042.

It is a Harshad number since it is a multiple of its sum of digits (15).

2400042120 is a modest number, since divided by 42120 gives 2400 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 2400042120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3914934 + ... + 3915546.

It is an arithmetic number, because the mean of its divisors is an integer number (33156000).

Almost surely, 2^2400042120 is an apocalyptic number.

2400042120 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 2400042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243968000).

2400042120 is an abundant number, since it is smaller than the sum of its proper divisors (6087893880).

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

2400042120 is a wasteful number, since it uses less digits than its factorization.

2400042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2400042120 is about 48990.2247392273. The cubic root of 2400042120 is about 1338.8737324840.

Adding to 2400042120 its reverse (212400042), we get a palindrome (2612442162).

The spelling of 2400042120 in words is "two billion, four hundred million, forty-two thousand, one hundred twenty".