2609252352 has 432 divisors, whose sum is σ = 9176010480. Its totient is φ = 738533376.

The previous prime is 2609252333. The next prime is 2609252363. The reversal of 2609252352 is 2532529062.

It is a happy number.

2609252352 is a `hidden beast` number, since 2 + 609 + 25 + 23 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24385483 + ... + 24385589.

It is an arithmetic number, because the mean of its divisors is an integer number (21240765).

Almost surely, 2^2609252352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2609252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588005240).

2609252352 is an abundant number, since it is smaller than the sum of its proper divisors (6566758128).

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

2609252352 is an equidigital number, since it uses as much as digits as its factorization.

2609252352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2609252352 is about 51080.8413399779. The cubic root of 2609252352 is about 1376.6980413546.

The spelling of 2609252352 in words is "two billion, six hundred nine million, two hundred fifty-two thousand, three hundred fifty-two".