2479752 has 96 divisors (see below), whose sum is σ = 7637760. Its totient is φ = 720000.

The previous prime is 2479751. The next prime is 2479769. The reversal of 2479752 is 2579742.

It is a super-2 number, since 2×2479752² = 12298339963008, which contains 22 as substring.

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 (2479751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24502 + ... + 24602.

It is an arithmetic number, because the mean of its divisors is an integer number (79560).

2^2479752 is an apocalyptic number.

2479752 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 2479752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818880).

2479752 is an abundant number, since it is smaller than the sum of its proper divisors (5158008).

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

2479752 is a wasteful number, since it uses less digits than its factorization.

2479752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 148 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 2479752 is about 1574.7228327550. The cubic root of 2479752 is about 135.3534769588.

It can be divided in two parts, 247 and 9752, that added together give a palindrome (9999).

The spelling of 2479752 in words is "two million, four hundred seventy-nine thousand, seven hundred fifty-two".