2535132664416 has 576 divisors, whose sum is σ = 7830598406400. Its totient is φ = 712009482240.

The previous prime is 2535132664301. The next prime is 2535132664453. The reversal of 2535132664416 is 6144662315352.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8958065811 + ... + 8958066093.

It is an arithmetic number, because the mean of its divisors is an integer number (13594788900).

Almost surely, 2^{2535132664416} 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 2535132664416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915299203200).

2535132664416 is an abundant number, since it is smaller than the sum of its proper divisors (5295465741984).

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

2535132664416 is a wasteful number, since it uses less digits than its factorization.

2535132664416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 662 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

Adding to 2535132664416 its reverse (6144662315352), we get a palindrome (8679794979768).

The spelling of 2535132664416 in words is "two trillion, five hundred thirty-five billion, one hundred thirty-two million, six hundred sixty-four thousand, four hundred sixteen".