2523630144 has 336 divisors, whose sum is σ = 8506114560. Its totient is φ = 655441920.

The previous prime is 2523630133. The next prime is 2523630149. The reversal of 2523630144 is 4410363252.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523630149) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4957762 + ... + 4958270.

Almost surely, 2^2523630144 is an apocalyptic number.

2523630144 is a gapful number since it is divisible by the number (24) 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 2523630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253057280).

2523630144 is an abundant number, since it is smaller than the sum of its proper divisors (5982484416).

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

2523630144 is a wasteful number, since it uses less digits than its factorization.

2523630144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2523630144 is about 50235.7456797448. The cubic root of 2523630144 is about 1361.4715444431.

Adding to 2523630144 its reverse (4410363252), we get a palindrome (6933993396).

The spelling of 2523630144 in words is "two billion, five hundred twenty-three million, six hundred thirty thousand, one hundred forty-four".