2523234120 has 256 divisors, whose sum is σ = 8491392000. Its totient is φ = 594662400.

The previous prime is 2523234101. The next prime is 2523234127. The reversal of 2523234120 is 214323252.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2523234127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13940430 + ... + 13940610.

It is an arithmetic number, because the mean of its divisors is an integer number (33169500).

Almost surely, 2^2523234120 is an apocalyptic number.

2523234120 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 2523234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696000).

2523234120 is an abundant number, since it is smaller than the sum of its proper divisors (5968157880).

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

2523234120 is a wasteful number, since it uses less digits than its factorization.

2523234120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2523234120 is about 50231.8038696601. The cubic root of 2523234120 is about 1361.4003238096.

Adding to 2523234120 its reverse (214323252), we get a palindrome (2737557372).

The spelling of 2523234120 in words is "two billion, five hundred twenty-three million, two hundred thirty-four thousand, one hundred twenty".