2590241694066 has 128 divisors (see below), whose sum is σ = 6526198425600. Its totient is φ = 754926039360.

The previous prime is 2590241694013. The next prime is 2590241694077. The reversal of 2590241694066 is 6604961420952.

2590241694066 is a `hidden beast` number, since 2 + 59 + 0 + 24 + 169 + 406 + 6 = 666.

It is a super-3 number, since 3×2590241694066³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108972915 + ... + 108996681.

It is an arithmetic number, because the mean of its divisors is an integer number (50985925200).

Almost surely, 2^{2590241694066} is an apocalyptic number.

2590241694066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2590241694066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263099212800).

2590241694066 is an abundant number, since it is smaller than the sum of its proper divisors (3935956731534).

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

2590241694066 is a wasteful number, since it uses less digits than its factorization.

2590241694066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31981 (or 31975 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 2590241694066 in words is "two trillion, five hundred ninety billion, two hundred forty-one million, six hundred ninety-four thousand, sixty-six".