2131833600 has 648 divisors, whose sum is σ = 8580752880. Its totient is φ = 517570560.

The previous prime is 2131833577. The next prime is 2131833601. The reversal of 2131833600 is 63381312.

It is a happy number.

2131833600 is a `hidden beast` number, since 2 + 13 + 18 + 33 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131833601) 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 71 ways as a sum of consecutive naturals, for example, 29203164 + ... + 29203236.

Almost surely, 2^2131833600 is an apocalyptic number.

2131833600 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 2131833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290376440).

2131833600 is an abundant number, since it is smaller than the sum of its proper divisors (6448919280).

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

2131833600 is a wasteful number, since it uses less digits than its factorization.

2131833600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2131833600 is about 46171.7835912801. The cubic root of 2131833600 is about 1287.0174469627.

The spelling of 2131833600 in words is "two billion, one hundred thirty-one million, eight hundred thirty-three thousand, six hundred".