2617952 has 24 divisors (see below), whose sum is σ = 5379696. Its totient is φ = 1251712.

The previous prime is 2617907. The next prime is 2617957. The reversal of 2617952 is 2597162.

2617952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 2¹¹ + 6³ + 1 + 7² + 9⁶ + 5⁹ + 2¹⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2617957) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1043 + ... + 2514.

It is an arithmetic number, because the mean of its divisors is an integer number (224154).

2^2617952 is an apocalyptic number.

It is an amenable number.

2617952 is an abundant number, since it is smaller than the sum of its proper divisors (2761744).

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

2617952 is a wasteful number, since it uses less digits than its factorization.

2617952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3582 counting only the distinct ones).

The product of its digits is 7560, while the sum is 32.

The square root of 2617952 is about 1618.0086526345. The cubic root of 2617952 is about 137.8226384922.

The spelling of 2617952 in words is "two million, six hundred seventeen thousand, nine hundred fifty-two".