2525580616734 has 120 divisors (see below), whose sum is σ = 6599708125560. Its totient is φ = 719775945504.

The previous prime is 2525580616733. The next prime is 2525580616739. The reversal of 2525580616734 is 4376160855252.

2525580616734 is a `hidden beast` number, since 2 + 5 + 2 + 558 + 0 + 6 + 16 + 73 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (2525580616733) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 2750677 + ... + 3552095.

It is an arithmetic number, because the mean of its divisors is an integer number (54997567713).

Almost surely, 2^{2525580616734} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525580616734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299854062780).

2525580616734 is an abundant number, since it is smaller than the sum of its proper divisors (4074127508826).

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

2525580616734 is a wasteful number, since it uses less digits than its factorization.

2525580616734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801844 (or 801828 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 2525580616734 in words is "two trillion, five hundred twenty-five billion, five hundred eighty million, six hundred sixteen thousand, seven hundred thirty-four".