2121624633360 has 80 divisors (see below), whose sum is σ = 6577229744640. Its totient is φ = 565749934080.

The previous prime is 2121624633311. The next prime is 2121624633361. The reversal of 2121624633360 is 633364261212.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2121624633361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9548001 + ... + 9767679.

It is an arithmetic number, because the mean of its divisors is an integer number (82215371808).

Almost surely, 2^{2121624633360} is an apocalyptic number.

2121624633360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121624633360 is an abundant number, since it is smaller than the sum of its proper divisors (4455605111280).

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

2121624633360 is a wasteful number, since it uses less digits than its factorization.

2121624633360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259936 (or 259930 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

Adding to 2121624633360 its reverse (633364261212), we get a palindrome (2754988894572).

The spelling of 2121624633360 in words is "two trillion, one hundred twenty-one billion, six hundred twenty-four million, six hundred thirty-three thousand, three hundred sixty".