2525290380558 has 256 divisors, whose sum is σ = 6716224512000. Its totient is φ = 694378137600.

The previous prime is 2525290380521. The next prime is 2525290380559. The reversal of 2525290380558 is 8550830925252.

2525290380558 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 2 + 9 + 0 + 3 + 80 + 558 = 666.

It is a super-3 number, since 3×2525290380558³ (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2525290380559) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84192228 + ... + 84222216.

It is an arithmetic number, because the mean of its divisors is an integer number (26235252000).

Almost surely, 2^{2525290380558} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525290380558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358112256000).

2525290380558 is an abundant number, since it is smaller than the sum of its proper divisors (4190934131442).

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

2525290380558 is a wasteful number, since it uses less digits than its factorization.

2525290380558 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30328 (or 30322 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 2525290380558 in words is "two trillion, five hundred twenty-five billion, two hundred ninety million, three hundred eighty thousand, five hundred fifty-eight".