2459952 has 60 divisors (see below), whose sum is σ = 7515144. Its totient is φ = 744960.

The previous prime is 2459923. The next prime is 2459953. The reversal of 2459952 is 2599542.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2459953) 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, 808 + ... + 2360.

2^2459952 is an apocalyptic number.

2459952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2459952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757572).

2459952 is an abundant number, since it is smaller than the sum of its proper divisors (5055192).

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

2459952 is a wasteful number, since it uses less digits than its factorization.

2459952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1569 counting only the distinct ones).

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

The square root of 2459952 is about 1568.4234122201. The cubic root of 2459952 is about 134.9922629311.

It can be divided in two parts, 2 and 459952, that added together give a palindrome (459954).

The spelling of 2459952 in words is "two million, four hundred fifty-nine thousand, nine hundred fifty-two".