2111542400000 has 528 divisors, whose sum is σ = 5802873592320. Its totient is φ = 761548800000.

The previous prime is 2111542399999. The next prime is 2111542400081. The reversal of 2111542400000 is 42451112.

It is a happy number.

It is a super-2 number, since 2×2111542400000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 7849599866 + ... + 7849600134.

Almost surely, 2^{2111542400000} is an apocalyptic number.

2111542400000 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 2111542400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901436796160).

2111542400000 is an abundant number, since it is smaller than the sum of its proper divisors (3691331192320).

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

2111542400000 is an equidigital number, since it uses as much as digits as its factorization.

2111542400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 2111542400000 its reverse (42451112), we get a palindrome (2111584851112).

The spelling of 2111542400000 in words is "two trillion, one hundred eleven billion, five hundred forty-two million, four hundred thousand".