2581885575360 has 2688 divisors, whose sum is σ = 12167623802880. Its totient is φ = 508668346368.

The previous prime is 2581885575359. The next prime is 2581885575371. The reversal of 2581885575360 is 635755881852.

It is a happy number.

2581885575360 is a `hidden beast` number, since 2 + 5 + 8 + 18 + 8 + 557 + 5 + 3 + 60 = 666.

It is a super-2 number, since 2×2581885575360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20329807617 + ... + 20329807743.

It is an arithmetic number, because the mean of its divisors is an integer number (4526645760).

Almost surely, 2^{2581885575360} is an apocalyptic number.

2581885575360 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 2581885575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6083811901440).

2581885575360 is an abundant number, since it is smaller than the sum of its proper divisors (9585738227520).

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

2581885575360 is a wasteful number, since it uses less digits than its factorization.

2581885575360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 80640000, while the sum is 63.

The spelling of 2581885575360 in words is "two trillion, five hundred eighty-one billion, eight hundred eighty-five million, five hundred seventy-five thousand, three hundred sixty".