2603401920 has 672 divisors, whose sum is σ = 10907694720. Its totient is φ = 557383680.

The previous prime is 2603401919. The next prime is 2603402017. The reversal of 2603401920 is 291043062.

2603401920 is a `hidden beast` number, since 2 + 603 + 40 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 35663004 + ... + 35663076.

Almost surely, 2^2603401920 is an apocalyptic number.

2603401920 is a gapful number since it is divisible by the number (20) 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 2603401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453847360).

2603401920 is an abundant number, since it is smaller than the sum of its proper divisors (8304292800).

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

2603401920 is a wasteful number, since it uses less digits than its factorization.

2603401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

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

The square root of 2603401920 is about 51023.5428013383. The cubic root of 2603401920 is about 1375.6683331686.

Adding to 2603401920 its reverse (291043062), we get a palindrome (2894444982).

The spelling of 2603401920 in words is "two billion, six hundred three million, four hundred one thousand, nine hundred twenty".