2603162016 has 384 divisors, whose sum is σ = 9459555840. Its totient is φ = 678150144.

The previous prime is 2603161999. The next prime is 2603162017. The reversal of 2603162016 is 6102613062.

2603162016 is a `hidden beast` number, since 2 + 6 + 0 + 31 + 620 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2603162017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8884366 + ... + 8884658.

It is an arithmetic number, because the mean of its divisors is an integer number (24634260).

Almost surely, 2^2603162016 is an apocalyptic number.

2603162016 is a gapful number since it is divisible by the number (26) 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 2603162016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729777920).

2603162016 is an abundant number, since it is smaller than the sum of its proper divisors (6856393824).

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

2603162016 is a wasteful number, since it uses less digits than its factorization.

2603162016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2603162016 is about 51021.1918324141. The cubic root of 2603162016 is about 1375.6260758346.

Adding to 2603162016 its reverse (6102613062), we get a palindrome (8705775078).

The spelling of 2603162016 in words is "two billion, six hundred three million, one hundred sixty-two thousand, sixteen".