2401442144 has 96 divisors (see below), whose sum is σ = 5079049920. Its totient is φ = 1115136000.

The previous prime is 2401442101. The next prime is 2401442189. The reversal of 2401442144 is 4412441042.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3995444 + ... + 3996044.

It is an arithmetic number, because the mean of its divisors is an integer number (52906770).

Almost surely, 2^2401442144 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 2401442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539524960).

2401442144 is an abundant number, since it is smaller than the sum of its proper divisors (2677607776).

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

2401442144 is a wasteful number, since it uses less digits than its factorization.

2401442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 2401442144 is about 49004.5114657824. The cubic root of 2401442144 is about 1339.1340183326.

Adding to 2401442144 its reverse (4412441042), we get a palindrome (6813883186).

The spelling of 2401442144 in words is "two billion, four hundred one million, four hundred forty-two thousand, one hundred forty-four".