2141131200 has 168 divisors, whose sum is σ = 7565276208. Its totient is φ = 527032320.

The previous prime is 2141131189. The next prime is 2141131211. The reversal of 2141131200 is 21311412.

It is an interprime number because it is at equal distance from previous prime (2141131189) and next prime (2141131211).

It is a super-2 number, since 2×2141131200² = 9168885631226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2141131200.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 45244 + ... + 79556.

It is an arithmetic number, because the mean of its divisors is an integer number (45031406).

Almost surely, 2^2141131200 is an apocalyptic number.

2141131200 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 2141131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782638104).

2141131200 is an abundant number, since it is smaller than the sum of its proper divisors (5424145008).

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

2141131200 is a wasteful number, since it uses less digits than its factorization.

2141131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34351 (or 34336 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2141131200 is about 46272.3589197698. The cubic root of 2141131200 is about 1288.8857634134.

Adding to 2141131200 its reverse (21311412), we get a palindrome (2162442612).

The spelling of 2141131200 in words is "two billion, one hundred forty-one million, one hundred thirty-one thousand, two hundred".