2523140 has 48 divisors (see below), whose sum is σ = 5778864. Its totient is φ = 921600.

The previous prime is 2523139. The next prime is 2523149. The reversal of 2523140 is 413252.

It can be written as a sum of positive squares in 8 ways, for example, as 678976 + 1844164 = 824^2 + 1358^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (2523149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13850 + ... + 14030.

It is an arithmetic number, because the mean of its divisors is an integer number (120393).

2^2523140 is an apocalyptic number.

2523140 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 2523140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889432).

2523140 is an abundant number, since it is smaller than the sum of its proper divisors (3255724).

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

2523140 is a wasteful number, since it uses less digits than its factorization.

2523140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2523140 is about 1588.4394857847. The cubic root of 2523140 is about 136.1383396249.

Adding to 2523140 its reverse (413252), we get a palindrome (2936392).

It can be divided in two parts, 2523 and 140, that multiplied together give a triangular number (353220 = T₈₄₀).

The spelling of 2523140 in words is "two million, five hundred twenty-three thousand, one hundred forty".