2136450484224 has 960 divisors, whose sum is σ = 7671689625600. Its totient is φ = 579166765056.

The previous prime is 2136450484219. The next prime is 2136450484253. The reversal of 2136450484224 is 4224840546312.

2136450484224 is a `hidden beast` number, since 2 + 1 + 3 + 64 + 504 + 84 + 2 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2136450484224.

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 79 ways as a sum of consecutive naturals, for example, 4460230417 + ... + 4460230895.

It is an arithmetic number, because the mean of its divisors is an integer number (7991343360).

Almost surely, 2^{2136450484224} is an apocalyptic number.

2136450484224 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 2136450484224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3835844812800).

2136450484224 is an abundant number, since it is smaller than the sum of its proper divisors (5535239141376).

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

2136450484224 is a wasteful number, since it uses less digits than its factorization.

2136450484224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 2136450484224 in words is "two trillion, one hundred thirty-six billion, four hundred fifty million, four hundred eighty-four thousand, two hundred twenty-four".