2400125442 has 64 divisors (see below), whose sum is σ = 5707570176. Its totient is φ = 663255360.

The previous prime is 2400125407. The next prime is 2400125447. The reversal of 2400125442 is 2445210042.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2400125447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54363 + ... + 88065.

It is an arithmetic number, because the mean of its divisors is an integer number (89180784).

Almost surely, 2^2400125442 is an apocalyptic number.

2400125442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400125442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853785088).

2400125442 is an abundant number, since it is smaller than the sum of its proper divisors (3307444734).

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

2400125442 is a wasteful number, since it uses less digits than its factorization.

2400125442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33815.

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2400125442 is about 48991.0751259860. The cubic root of 2400125442 is about 1338.8892261491.

Adding to 2400125442 its reverse (2445210042), we get a palindrome (4845335484).

The spelling of 2400125442 in words is "two billion, four hundred million, one hundred twenty-five thousand, four hundred forty-two".