2523054400 has 84 divisors (see below), whose sum is σ = 6325640892. Its totient is φ = 990146560.

The previous prime is 2523054377. The next prime is 2523054421. The reversal of 2523054400 is 44503252.

It can be written as a sum of positive squares in 6 ways, for example, as 205979904 + 2317074496 = 14352^2 + 48136^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69924 + ... + 99676.

Almost surely, 2^2523054400 is an apocalyptic number.

2523054400 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 2523054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162820446).

2523054400 is an abundant number, since it is smaller than the sum of its proper divisors (3802586492).

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

2523054400 is a wasteful number, since it uses less digits than its factorization.

2523054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29828 (or 29813 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2523054400 is about 50230.0149313137. The cubic root of 2523054400 is about 1361.3680006529.

Adding to 2523054400 its reverse (44503252), we get a palindrome (2567557652).

The spelling of 2523054400 in words is "two billion, five hundred twenty-three million, fifty-four thousand, four hundred".