2594242560 has 544 divisors, whose sum is σ = 10569565440. Its totient is φ = 528482304.

The previous prime is 2594242559. The next prime is 2594242561. The reversal of 2594242560 is 652424952.

It is an interprime number because it is at equal distance from previous prime (2594242559) and next prime (2594242561).

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

It is not an unprimeable number, because it can be changed into a prime (2594242561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89456626 + ... + 89456654.

Almost surely, 2^2594242560 is an apocalyptic number.

2594242560 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 2594242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284782720).

2594242560 is an abundant number, since it is smaller than the sum of its proper divisors (7975322880).

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

2594242560 is an equidigital number, since it uses as much as digits as its factorization.

2594242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 2594242560 is about 50933.7075029886. The cubic root of 2594242560 is about 1374.0531327910.

The spelling of 2594242560 in words is "two billion, five hundred ninety-four million, two hundred forty-two thousand, five hundred sixty".