2581408088336 has 320 divisors, whose sum is σ = 6822694748160. Its totient is φ = 915065856000.

The previous prime is 2581408088293. The next prime is 2581408088339. The reversal of 2581408088336 is 6338808041852.

It is a happy number.

It is a super-3 number, since 3×2581408088336³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (2581408088339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 896632145 + ... + 896635023.

It is an arithmetic number, because the mean of its divisors is an integer number (21320921088).

Almost surely, 2^{2581408088336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2581408088336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411347374080).

2581408088336 is an abundant number, since it is smaller than the sum of its proper divisors (4241286659824).

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

2581408088336 is a wasteful number, since it uses less digits than its factorization.

2581408088336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 4328 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 56.

The spelling of 2581408088336 in words is "two trillion, five hundred eighty-one billion, four hundred eight million, eighty-eight thousand, three hundred thirty-six".