2121830455248 has 360 divisors, whose sum is σ = 7030110077640. Its totient is φ = 595579944960.

The previous prime is 2121830455211. The next prime is 2121830455249. The reversal of 2121830455248 is 8425540381212.

2121830455248 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 83 + 0 + 45 + 524 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34868839824 + 2086961615424 = 186732^2 + 1444632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121830455249) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 98582728 + ... + 98604248.

It is an arithmetic number, because the mean of its divisors is an integer number (19528083549).

Almost surely, 2^{2121830455248} is an apocalyptic number.

2121830455248 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 2121830455248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515055038820).

2121830455248 is an abundant number, since it is smaller than the sum of its proper divisors (4908279622392).

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

2121830455248 is a wasteful number, since it uses less digits than its factorization.

2121830455248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21795 (or 21779 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 2121830455248 in words is "two trillion, one hundred twenty-one billion, eight hundred thirty million, four hundred fifty-five thousand, two hundred forty-eight".