2124214030848 has 1440 divisors, whose sum is σ = 7633885792896. Its totient is φ = 521925820416.

The previous prime is 2124214030831. The next prime is 2124214030877. The reversal of 2124214030848 is 8480304124212.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 143 ways as a sum of consecutive naturals, for example, 15505211836 + ... + 15505211972.

Almost surely, 2^{2124214030848} is an apocalyptic number.

2124214030848 is a gapful number since it is divisible by the number (28) 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 2124214030848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816942896448).

2124214030848 is an abundant number, since it is smaller than the sum of its proper divisors (5509671762048).

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

2124214030848 is a wasteful number, since it uses less digits than its factorization.

2124214030848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 2124214030848 in words is "two trillion, one hundred twenty-four billion, two hundred fourteen million, thirty thousand, eight hundred forty-eight".