2141150415200 has 72 divisors (see below), whose sum is σ = 5227589006640. Its totient is φ = 856377331200.

The previous prime is 2141150415193. The next prime is 2141150415203. The reversal of 2141150415200 is 25140511412.

It is a happy number.

It is a super-2 number, since 2×2141150415200² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2141150415200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141150415203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8507165 + ... + 8755235.

It is an arithmetic number, because the mean of its divisors is an integer number (72605402870).

Almost surely, 2^{2141150415200} is an apocalyptic number.

2141150415200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141150415200 is an abundant number, since it is smaller than the sum of its proper divisors (3086438591440).

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

2141150415200 is a wasteful number, since it uses less digits than its factorization.

2141150415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258880 (or 258867 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 2141150415200 its reverse (25140511412), we get a palindrome (2166290926612).

The spelling of 2141150415200 in words is "two trillion, one hundred forty-one billion, one hundred fifty million, four hundred fifteen thousand, two hundred".