2523440240 has 80 divisors (see below), whose sum is σ = 5995303776. Its totient is φ = 987417600.

The previous prime is 2523440209. The next prime is 2523440261. The reversal of 2523440240 is 420443252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1953995 + ... + 1955285.

Almost surely, 2^2523440240 is an apocalyptic number.

2523440240 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 2523440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997651888).

2523440240 is an abundant number, since it is smaller than the sum of its proper divisors (3471863536).

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

2523440240 is a wasteful number, since it uses less digits than its factorization.

2523440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 2523440240 is about 50233.8555159765. The cubic root of 2523440240 is about 1361.4373931923.

Adding to 2523440240 its reverse (420443252), we get a palindrome (2943883492).

The spelling of 2523440240 in words is "two billion, five hundred twenty-three million, four hundred forty thousand, two hundred forty".