2594928960 has 672 divisors, whose sum is σ = 10624303872. Its totient is φ = 597196800.

The previous prime is 2594928937. The next prime is 2594928967. The reversal of 2594928960 is 698294952.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2594928897 and 2594928906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2594928967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17184885 + ... + 17185035.

It is an arithmetic number, because the mean of its divisors is an integer number (15809976).

Almost surely, 2^2594928960 is an apocalyptic number.

2594928960 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 2594928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312151936).

2594928960 is an abundant number, since it is smaller than the sum of its proper divisors (8029374912).

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

2594928960 is a wasteful number, since it uses less digits than its factorization.

2594928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 2594928960 is about 50940.4452277363. The cubic root of 2594928960 is about 1374.1743071325.

The spelling of 2594928960 in words is "two billion, five hundred ninety-four million, nine hundred twenty-eight thousand, nine hundred sixty".