2534444352 has 336 divisors, whose sum is σ = 8582558400. Its totient is φ = 706682880.

The previous prime is 2534444279. The next prime is 2534444377.

2534444352 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4453924 + ... + 4454492.

Almost surely, 2^2534444352 is an apocalyptic number.

2534444352 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 2534444352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291279200).

2534444352 is an abundant number, since it is smaller than the sum of its proper divisors (6048114048).

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

2534444352 is a wasteful number, since it uses less digits than its factorization.

2534444352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 641 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The square root of 2534444352 is about 50343.2652099563. The cubic root of 2534444352 is about 1363.4134898396.

It can be divided in two parts, 25344 and 44352, that added together give a palindrome (69696).

The spelling of 2534444352 in words is "two billion, five hundred thirty-four million, four hundred forty-four thousand, three hundred fifty-two".