2523226000 has 80 divisors (see below), whose sum is σ = 6126148080. Its totient is φ = 1005158400.

The previous prime is 2523225949. The next prime is 2523226007. The reversal of 2523226000 is 6223252.

It is a happy number.

2523226000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 14017536 + 2509208464 = 3744^2 + 50092^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2523226007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511546 + ... + 516454.

It is an arithmetic number, because the mean of its divisors is an integer number (76576851).

Almost surely, 2^2523226000 is an apocalyptic number.

2523226000 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 2523226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063074040).

2523226000 is an abundant number, since it is smaller than the sum of its proper divisors (3602922080).

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

2523226000 is a wasteful number, since it uses less digits than its factorization.

2523226000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5189 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2523226000 is about 50231.7230443074. The cubic root of 2523226000 is about 1361.3988634374.

Adding to 2523226000 its reverse (6223252), we get a palindrome (2529449252).

The spelling of 2523226000 in words is "two billion, five hundred twenty-three million, two hundred twenty-six thousand".