2126541043200 has 1440 divisors, whose sum is σ = 9110510640000. Its totient is φ = 433272913920.

The previous prime is 2126541043171. The next prime is 2126541043303. The reversal of 2126541043200 is 23401456212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 607755051 + ... + 607758549.

It is an arithmetic number, because the mean of its divisors is an integer number (6326743500).

Almost surely, 2^{2126541043200} is an apocalyptic number.

2126541043200 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 2126541043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555255320000).

2126541043200 is an abundant number, since it is smaller than the sum of its proper divisors (6983969596800).

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

2126541043200 is a wasteful number, since it uses less digits than its factorization.

2126541043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 2126541043200 its reverse (23401456212), we get a palindrome (2149942499412).

The spelling of 2126541043200 in words is "two trillion, one hundred twenty-six billion, five hundred forty-one million, forty-three thousand, two hundred".