2538448352 has 72 divisors (see below), whose sum is σ = 5548439736. Its totient is φ = 1142240000.

The previous prime is 2538448349. The next prime is 2538448357.

It is a happy number.

2538448352 is nontrivially palindromic in base 10.

2538448352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538448357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 387827 + ... + 394317.

It is an arithmetic number, because the mean of its divisors is an integer number (77061663).

Almost surely, 2^2538448352 is an apocalyptic number.

2538448352 is a gapful number since it is divisible by the number (22) 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 2538448352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774219868).

2538448352 is an abundant number, since it is smaller than the sum of its proper divisors (3009991384).

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

2538448352 is a wasteful number, since it uses less digits than its factorization.

2538448352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6624 (or 6605 counting only the distinct ones).

The product of its digits is 921600, while the sum is 44.

The square root of 2538448352 is about 50383.0165035799. The cubic root of 2538448352 is about 1364.1311008224.

The spelling of 2538448352 in words is "two billion, five hundred thirty-eight million, four hundred forty-eight thousand, three hundred fifty-two".