2580269310720 has 864 divisors, whose sum is σ = 9296386811712. Its totient is φ = 660338638848.

The previous prime is 2580269310649. The next prime is 2580269310793. The reversal of 2580269310720 is 270139620852.

2580269310720 is a `hidden beast` number, since 2 + 5 + 8 + 0 + 269 + 310 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13097813662 + ... + 13097813858.

It is an arithmetic number, because the mean of its divisors is an integer number (10759706958).

Almost surely, 2^{2580269310720} is an apocalyptic number.

2580269310720 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 2580269310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648193405856).

2580269310720 is an abundant number, since it is smaller than the sum of its proper divisors (6716117500992).

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

2580269310720 is a wasteful number, since it uses less digits than its factorization.

2580269310720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2580269310720 in words is "two trillion, five hundred eighty billion, two hundred sixty-nine million, three hundred ten thousand, seven hundred twenty".