2549952 has 84 divisors (see below), whose sum is σ = 7726680. Its totient is φ = 801792.

The previous prime is 2549951. The next prime is 2549993. The reversal of 2549952 is 2599452.

It is a happy number.

2549952 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (32400) is a multiple of the sum of its prime factors (270).

It is not an unprimeable number, because it can be changed into a prime (2549951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10828 + ... + 11060.

2^2549952 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 2549952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863340).

2549952 is an abundant number, since it is smaller than the sum of its proper divisors (5176728).

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

2549952 is a wasteful number, since it uses less digits than its factorization.

2549952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 2549952 is about 1596.8569128134. The cubic root of 2549952 is about 136.6188635776.

The spelling of 2549952 in words is "two million, five hundred forty-nine thousand, nine hundred fifty-two".