2532348419328 has 864 divisors, whose sum is σ = 9346269470720. Its totient is φ = 641449082880.

The previous prime is 2532348419303. The next prime is 2532348419333. The reversal of 2532348419328 is 8239148432352.

2532348419328 is a `hidden beast` number, since 2 + 5 + 3 + 234 + 84 + 1 + 9 + 328 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 903440775 + ... + 903443577.

Almost surely, 2^{2532348419328} is an apocalyptic number.

2532348419328 is a gapful number since it is divisible by the number (28) 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 2532348419328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4673134735360).

2532348419328 is an abundant number, since it is smaller than the sum of its proper divisors (6813921051392).

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

2532348419328 is a wasteful number, since it uses less digits than its factorization.

2532348419328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015 (or 2998 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 2532348419328 in words is "two trillion, five hundred thirty-two billion, three hundred forty-eight million, four hundred nineteen thousand, three hundred twenty-eight".