2560949450580 has 96 divisors (see below), whose sum is σ = 7217236091520. Its totient is φ = 678484984320.

The previous prime is 2560949450539. The next prime is 2560949450611. The reversal of 2560949450580 is 850549490652.

2560949450580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2560949450580.

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, 119990710 + ... + 120012050.

It is an arithmetic number, because the mean of its divisors is an integer number (75179542620).

Almost surely, 2^{2560949450580} is an apocalyptic number.

2560949450580 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 2560949450580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608618045760).

2560949450580 is an abundant number, since it is smaller than the sum of its proper divisors (4656286640940).

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

2560949450580 is a wasteful number, since it uses less digits than its factorization.

2560949450580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34249 (or 34247 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 57.

The spelling of 2560949450580 in words is "two trillion, five hundred sixty billion, nine hundred forty-nine million, four hundred fifty thousand, five hundred eighty".