2124137508384 has 96 divisors (see below), whose sum is σ = 5739336400896. Its totient is φ = 687524302080.

The previous prime is 2124137508379. The next prime is 2124137508419. The reversal of 2124137508384 is 4838057314212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1280422 + ... + 2426469.

It is an arithmetic number, because the mean of its divisors is an integer number (59784754176).

Almost surely, 2^{2124137508384} is an apocalyptic number.

2124137508384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2124137508384 is an abundant number, since it is smaller than the sum of its proper divisors (3615198892512).

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

2124137508384 is a wasteful number, since it uses less digits than its factorization.

2124137508384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707078 (or 3707070 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 2124137508384 in words is "two trillion, one hundred twenty-four billion, one hundred thirty-seven million, five hundred eight thousand, three hundred eighty-four".