2848436640000 has 2160 divisors, whose sum is σ = 12285617344000. Its totient is φ = 634023936000.

The previous prime is 2848436639989. The next prime is 2848436640001. The reversal of 2848436640000 is 466348482.

2848436640000 is a `hidden beast` number, since 284 + 8 + 4 + 366 + 4 + 0 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×2848436640000³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2848436640001) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 36056159961 + ... + 36056160039.

Almost surely, 2^{2848436640000} is an apocalyptic number.

2848436640000 is a gapful number since it is divisible by the number (20) 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 2848436640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142808672000).

2848436640000 is an abundant number, since it is smaller than the sum of its proper divisors (9437180704000).

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

2848436640000 is an frugal number, since it uses more digits than its factorization.

2848436640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 2848436640000 in words is "two trillion, eight hundred forty-eight billion, four hundred thirty-six million, six hundred forty thousand".