2468369952 has 144 divisors (see below), whose sum is σ = 7417388160. Its totient is φ = 776480256.

The previous prime is 2468369921. The next prime is 2468369993. The reversal of 2468369952 is 2599638642.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1733913 + ... + 1735335.

It is an arithmetic number, because the mean of its divisors is an integer number (51509640).

Almost surely, 2^2468369952 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 2468369952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708694080).

2468369952 is an abundant number, since it is smaller than the sum of its proper divisors (4949018208).

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

2468369952 is a wasteful number, since it uses less digits than its factorization.

2468369952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1764 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 2468369952 is about 49682.6926806509. The cubic root of 2468369952 is about 1351.4606872928.

The spelling of 2468369952 in words is "two billion, four hundred sixty-eight million, three hundred sixty-nine thousand, nine hundred fifty-two".