2538922500 has 180 divisors, whose sum is σ = 8443234800. Its totient is φ = 641304000.

The previous prime is 2538922493. The next prime is 2538922501. The reversal of 2538922500 is 52298352.

2538922500 is a `hidden beast` number, since 2 + 53 + 89 + 22 + 500 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×2538922500² = 12892254922012500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2538922501) 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 59 ways as a sum of consecutive naturals, for example, 424531 + ... + 430469.

It is an arithmetic number, because the mean of its divisors is an integer number (46906860).

Almost surely, 2^2538922500 is an apocalyptic number.

2538922500 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 2538922500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221617400).

2538922500 is an abundant number, since it is smaller than the sum of its proper divisors (5904312300).

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

2538922500 is a wasteful number, since it uses less digits than its factorization.

2538922500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5988 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2538922500 is about 50387.7217186886. The cubic root of 2538922500 is about 1364.2160293136.

The spelling of 2538922500 in words is "two billion, five hundred thirty-eight million, nine hundred twenty-two thousand, five hundred".