2538224500 has 144 divisors (see below), whose sum is σ = 6492298176. Its totient is φ = 864360000.

The previous prime is 2538224477. The next prime is 2538224509. The reversal of 2538224500 is 54228352.

It is a super-2 number, since 2×2538224500² = 12885167224800500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538224509) 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 47 ways as a sum of consecutive naturals, for example, 5169255 + ... + 5169745.

It is an arithmetic number, because the mean of its divisors is an integer number (45085404).

Almost surely, 2^2538224500 is an apocalyptic number.

2538224500 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 2538224500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246149088).

2538224500 is an abundant number, since it is smaller than the sum of its proper divisors (3954073676).

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

2538224500 is a wasteful number, since it uses less digits than its factorization.

2538224500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 2538224500 is about 50380.7949520450. The cubic root of 2538224500 is about 1364.0910012012.

The spelling of 2538224500 in words is "two billion, five hundred thirty-eight million, two hundred twenty-four thousand, five hundred".