2524320 has 72 divisors (see below), whose sum is σ = 8619156. Its totient is φ = 672768.

The previous prime is 2524309. The next prime is 2524339. The reversal of 2524320 is 234252.

It can be written as a sum of positive squares in 2 ways, for example, as 2178576 + 345744 = 1476^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2524293 and 2524302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564 + ... + 2316.

2^2524320 is an apocalyptic number.

2524320 is a gapful number since it is divisible by the number (20) 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 2524320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309578).

2524320 is an abundant number, since it is smaller than the sum of its proper divisors (6094836).

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

2524320 is a wasteful number, since it uses less digits than its factorization.

2524320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2524320 is about 1588.8108760957. The cubic root of 2524320 is about 136.1595589792.

Adding to 2524320 its reverse (234252), we get a palindrome (2758572).

The spelling of 2524320 in words is "two million, five hundred twenty-four thousand, three hundred twenty".