2849430664080 has 1280 divisors, whose sum is σ = 13499615969280. Its totient is φ = 533197209600.

The previous prime is 2849430664019. The next prime is 2849430664103. The reversal of 2849430664080 is 804660349482.

2849430664080 is a `hidden beast` number, since 2 + 8 + 494 + 30 + 6 + 6 + 40 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 88632489 + ... + 88664631.

It is an arithmetic number, because the mean of its divisors is an integer number (10546574976).

Almost surely, 2^{2849430664080} is an apocalyptic number.

2849430664080 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 2849430664080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749807984640).

2849430664080 is an abundant number, since it is smaller than the sum of its proper divisors (10650185305200).

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

2849430664080 is a wasteful number, since it uses less digits than its factorization.

2849430664080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32237 (or 32225 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 2849430664080 in words is "two trillion, eight hundred forty-nine billion, four hundred thirty million, six hundred sixty-four thousand, eighty".