2141514025200 has 360 divisors, whose sum is σ = 8152071681936. Its totient is φ = 516284928000.

The previous prime is 2141514025141. The next prime is 2141514025201. The reversal of 2141514025200 is 25204151412.

It is a happy number.

2141514025200 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 51 + 402 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141514025201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7018212 + ... + 7316988.

Almost surely, 2^{2141514025200} is an apocalyptic number.

2141514025200 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 2141514025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4076035840968).

2141514025200 is an abundant number, since it is smaller than the sum of its proper divisors (6010557656736).

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

2141514025200 is a wasteful number, since it uses less digits than its factorization.

2141514025200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298993 (or 298979 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 2141514025200 its reverse (25204151412), we get a palindrome (2166718176612).

The spelling of 2141514025200 in words is "two trillion, one hundred forty-one billion, five hundred fourteen million, twenty-five thousand, two hundred".