2605380960 has 288 divisors, whose sum is σ = 10282440672. Its totient is φ = 549642240.

The previous prime is 2605380929. The next prime is 2605380971. The reversal of 2605380960 is 690835062.

2605380960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301500 + ... + 310020.

It is an arithmetic number, because the mean of its divisors is an integer number (35702919).

Almost surely, 2^2605380960 is an apocalyptic number.

2605380960 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 2605380960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5141220336).

2605380960 is an abundant number, since it is smaller than the sum of its proper divisors (7677059712).

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

2605380960 is a wasteful number, since it uses less digits than its factorization.

2605380960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8566 (or 8551 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 2605380960 is about 51042.9325176366. The cubic root of 2605380960 is about 1376.0168275840.

The spelling of 2605380960 in words is "two billion, six hundred five million, three hundred eighty thousand, nine hundred sixty".