2603411440 has 160 divisors (see below), whose sum is σ = 7143292800. Its totient is φ = 863846400.

The previous prime is 2603411389. The next prime is 2603411453. The reversal of 2603411440 is 441143062.

It is a super-2 number, since 2×2603411440² = 13555502251845747200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3420660 + ... + 3421420.

It is an arithmetic number, because the mean of its divisors is an integer number (44645580).

Almost surely, 2^2603411440 is an apocalyptic number.

2603411440 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 2603411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571646400).

2603411440 is an abundant number, since it is smaller than the sum of its proper divisors (4539881360).

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

2603411440 is a wasteful number, since it uses less digits than its factorization.

2603411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2603411440 is about 51023.6360915213. The cubic root of 2603411440 is about 1375.6700099934.

The spelling of 2603411440 in words is "two billion, six hundred three million, four hundred eleven thousand, four hundred forty".