2409601625 has 16 divisors (see below), whose sum is σ = 3010255248. Its totient is φ = 1925712000.

The previous prime is 2409601591. The next prime is 2409601637. The reversal of 2409601625 is 5261069042.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 654745744 + 1754855881 = 25588^2 + 41891^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2409601625 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119795 + ... + 138455.

It is an arithmetic number, because the mean of its divisors is an integer number (188140953).

Almost surely, 2^2409601625 is an apocalyptic number.

2409601625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2409601625 is a deficient number, since it is larger than the sum of its proper divisors (600653623).

2409601625 is a wasteful number, since it uses less digits than its factorization.

2409601625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19709 (or 19699 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 2409601625 is about 49087.6932132688. The cubic root of 2409601625 is about 1340.6489811385.

The spelling of 2409601625 in words is "two billion, four hundred nine million, six hundred one thousand, six hundred twenty-five".