2581490705280 has 256 divisors, whose sum is σ = 8320180196160. Its totient is φ = 680739471360.

The previous prime is 2581490705267. The next prime is 2581490705363. The reversal of 2581490705280 is 825070941852.

It is a super-2 number, since 2×2581490705280² (a number of 26 digits) contains 22 as substring.

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, 257192422 + ... + 257202458.

Almost surely, 2^{2581490705280} is an apocalyptic number.

2581490705280 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 2581490705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160090098080).

2581490705280 is an abundant number, since it is smaller than the sum of its proper divisors (5738689490880).

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

2581490705280 is a wasteful number, since it uses less digits than its factorization.

2581490705280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11537 (or 11525 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 2581490705280 in words is "two trillion, five hundred eighty-one billion, four hundred ninety million, seven hundred five thousand, two hundred eighty".