2603928960 has 192 divisors, whose sum is σ = 9140330160. Its totient is φ = 682905600.

The previous prime is 2603928919. The next prime is 2603928961. The reversal of 2603928960 is 698293062.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2603928961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347655 + ... + 355065.

Almost surely, 2^2603928960 is an apocalyptic number.

2603928960 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 2603928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570165080).

2603928960 is an abundant number, since it is smaller than the sum of its proper divisors (6536401200).

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

2603928960 is a wasteful number, since it uses less digits than its factorization.

2603928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7497 (or 7482 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2603928960 is about 51028.7072146650. The cubic root of 2603928960 is about 1375.7611582926.

The spelling of 2603928960 in words is "two billion, six hundred three million, nine hundred twenty-eight thousand, nine hundred sixty".