2609952 has 48 divisors (see below), whose sum is σ = 7080192. Its totient is φ = 840960.

The previous prime is 2609947. The next prime is 2609953. The reversal of 2609952 is 2599062.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2609952³ = 53335800226920628224, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2609953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2538 + ... + 3414.

It is an arithmetic number, because the mean of its divisors is an integer number (147504).

2^2609952 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 2609952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540096).

2609952 is an abundant number, since it is smaller than the sum of its proper divisors (4470240).

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

2609952 is a wasteful number, since it uses less digits than its factorization.

2609952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 2609952 is about 1615.5345864450. The cubic root of 2609952 is about 137.6821080170.

The spelling of 2609952 in words is "two million, six hundred nine thousand, nine hundred fifty-two".