2625727104 has 960 divisors, whose sum is σ = 11030785920. Its totient is φ = 602173440.

The previous prime is 2625727073. The next prime is 2625727121. The reversal of 2625727104 is 4017275262.

It is a happy number.

2625727104 is a `hidden beast` number, since 2 + 625 + 7 + 27 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 114162037 + ... + 114162059.

It is an arithmetic number, because the mean of its divisors is an integer number (11490402).

Almost surely, 2^2625727104 is an apocalyptic number.

2625727104 is a gapful number since it is divisible by the number (24) 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 2625727104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515392960).

2625727104 is an abundant number, since it is smaller than the sum of its proper divisors (8405058816).

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

2625727104 is a wasteful number, since it uses less digits than its factorization.

2625727104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2625727104 is about 51241.8491469619. The cubic root of 2625727104 is about 1379.5894430868.

It can be divided in two parts, 26257 and 27104, that added together give a square (53361 = 231²).

The spelling of 2625727104 in words is "two billion, six hundred twenty-five million, seven hundred twenty-seven thousand, one hundred four".