2401286944 has 72 divisors (see below), whose sum is σ = 5565935088. Its totient is φ = 1016668800.

The previous prime is 2401286933. The next prime is 2401286981. The reversal of 2401286944 is 4496821042.

It is a junction number, because it is equal to n+sod(n) for n = 2401286897 and 2401286906.

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 11 ways as a sum of consecutive naturals, for example, 120919 + ... + 139369.

It is an arithmetic number, because the mean of its divisors is an integer number (77304654).

Almost surely, 2^2401286944 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 2401286944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782967544).

2401286944 is an abundant number, since it is smaller than the sum of its proper divisors (3164648144).

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

2401286944 is a wasteful number, since it uses less digits than its factorization.

2401286944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18558 (or 18543 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 2401286944 is about 49002.9279125238. The cubic root of 2401286944 is about 1339.1051692682.

The spelling of 2401286944 in words is "two billion, four hundred one million, two hundred eighty-six thousand, nine hundred forty-four".