2603243178432 has 560 divisors, whose sum is σ = 8399107997280. Its totient is φ = 792504041472.

The previous prime is 2603243178413. The next prime is 2603243178461. The reversal of 2603243178432 is 2348713423062.

2603243178432 is a `hidden beast` number, since 2 + 6 + 0 + 3 + 2 + 43 + 178 + 432 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3030550419 + ... + 3030551277.

It is an arithmetic number, because the mean of its divisors is an integer number (14998407138).

Almost surely, 2^{2603243178432} 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 2603243178432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199553998640).

2603243178432 is an abundant number, since it is smaller than the sum of its proper divisors (5795864818848).

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

2603243178432 is a wasteful number, since it uses less digits than its factorization.

2603243178432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 2603243178432 in words is "two trillion, six hundred three billion, two hundred forty-three million, one hundred seventy-eight thousand, four hundred thirty-two".