2124525201984 has 224 divisors, whose sum is σ = 6389086901760. Its totient is φ = 691967840256.

The previous prime is 2124525201977. The next prime is 2124525202039. The reversal of 2124525201984 is 4891025254212.

2124525201984 is a `hidden beast` number, since 2 + 1 + 2 + 45 + 2 + 520 + 1 + 9 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50089074 + ... + 50131470.

Almost surely, 2^{2124525201984} is an apocalyptic number.

2124525201984 is a gapful number since it is divisible by the number (24) 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 2124525201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194543450880).

2124525201984 is an abundant number, since it is smaller than the sum of its proper divisors (4264561699776).

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

2124525201984 is a wasteful number, since it uses less digits than its factorization.

2124525201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43082 (or 43066 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 2124525201984 in words is "two trillion, one hundred twenty-four billion, five hundred twenty-five million, two hundred one thousand, nine hundred eighty-four".