2849888448000 has 1440 divisors, whose sum is σ = 11646868847328. Its totient is φ = 689762304000.

The previous prime is 2849888447999. The next prime is 2849888448041. The reversal of 2849888448000 is 8448889482.

2849888448000 is a `hidden beast` number, since 28 + 4 + 98 + 88 + 448 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4618943692 + ... + 4618944308.

Almost surely, 2^{2849888448000} is an apocalyptic number.

2849888448000 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 2849888448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5823434423664).

2849888448000 is an abundant number, since it is smaller than the sum of its proper divisors (8796980399328).

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

2849888448000 is an frugal number, since it uses more digits than its factorization.

2849888448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 63.

The spelling of 2849888448000 in words is "two trillion, eight hundred forty-nine billion, eight hundred eighty-eight million, four hundred forty-eight thousand".