2131225200 has 540 divisors, whose sum is σ = 8340126912. Its totient is φ = 503193600.

The previous prime is 2131225189. The next prime is 2131225207. The reversal of 2131225200 is 25221312.

2131225200 is a `hidden beast` number, since 21 + 3 + 122 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131225207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18860344 + ... + 18860456.

Almost surely, 2^2131225200 is an apocalyptic number.

2131225200 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 2131225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170063456).

2131225200 is an abundant number, since it is smaller than the sum of its proper divisors (6208901712).

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

2131225200 is a wasteful number, since it uses less digits than its factorization.

2131225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2131225200 is about 46165.1946817080. The cubic root of 2131225200 is about 1286.8950021473.

Adding to 2131225200 its reverse (25221312), we get a palindrome (2156446512).

The spelling of 2131225200 in words is "two billion, one hundred thirty-one million, two hundred twenty-five thousand, two hundred".