2603006317968 has 160 divisors (see below), whose sum is σ = 8275047505920. Its totient is φ = 688104130560.

The previous prime is 2603006317963. The next prime is 2603006317991. The reversal of 2603006317968 is 8697136003062.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 2603006317968.

It is not an unprimeable number, because it can be changed into a prime (2603006317963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3524928 + ... + 4198943.

It is an arithmetic number, because the mean of its divisors is an integer number (51719046912).

Almost surely, 2^{2603006317968} is an apocalyptic number.

2603006317968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2603006317968 is an abundant number, since it is smaller than the sum of its proper divisors (5672041187952).

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

2603006317968 is a wasteful number, since it uses less digits than its factorization.

2603006317968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7723965 (or 7723959 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 2603006317968 in words is "two trillion, six hundred three billion, six million, three hundred seventeen thousand, nine hundred sixty-eight".