2124240104400 has 60 divisors (see below), whose sum is σ = 6804649138272. Its totient is φ = 566464027520.

The previous prime is 2124240104317. The next prime is 2124240104501. The reversal of 2124240104400 is 44010424212.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×2124240104400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 885098844 + ... + 885101243.

Almost surely, 2^{2124240104400} is an apocalyptic number.

2124240104400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124240104400 is an abundant number, since it is smaller than the sum of its proper divisors (4680409033872).

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

2124240104400 is a wasteful number, since it uses less digits than its factorization.

2124240104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770200108 (or 1770200097 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2124240104400 its reverse (44010424212), we get a palindrome (2168250528612).

The spelling of 2124240104400 in words is "two trillion, one hundred twenty-four billion, two hundred forty million, one hundred four thousand, four hundred".