2523330 has 72 divisors (see below), whose sum is σ = 6987708. Its totient is φ = 631488.

The previous prime is 2523329. The next prime is 2523337. The reversal of 2523330 is 333252.

It can be written as a sum of positive squares in 2 ways, for example, as 2518569 + 4761 = 1587^2 + 69^2 .

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

It is a d-powerful number, because it can be written as 2¹⁵ + 5⁹ + 2¹⁹ + 3³ + 3⁸ + 3⁸ + 0 .

It is not an unprimeable number, because it can be changed into a prime (2523337) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 47584 + ... + 47636.

2^2523330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2523330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493854).

2523330 is an abundant number, since it is smaller than the sum of its proper divisors (4464378).

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

2523330 is a wasteful number, since it uses less digits than its factorization.

2523330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 2523330 is about 1588.4992917845. The cubic root of 2523330 is about 136.1417567474.

2523330 divided by its sum of digits (18) gives a triangular number (140185 = T₅₂₉).

Adding to 2523330 its reverse (333252), we get a palindrome (2856582).

It can be divided in two parts, 252 and 3330, that multiplied together give a triangular number (839160 = T₁₂₉₅).

The spelling of 2523330 in words is "two million, five hundred twenty-three thousand, three hundred thirty".