2854870824960 has 2304 divisors, whose sum is σ = 13000132454400. Its totient is φ = 581590056960.

The previous prime is 2854870824947. The next prime is 2854870824961. The reversal of 2854870824960 is 694280784582.

2854870824960 is a `hidden beast` number, since 2 + 8 + 548 + 7 + 0 + 8 + 24 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2854870824961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17095034797 + ... + 17095034963.

It is an arithmetic number, because the mean of its divisors is an integer number (5642418600).

Almost surely, 2^{2854870824960} is an apocalyptic number.

2854870824960 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 2854870824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6500066227200).

2854870824960 is an abundant number, since it is smaller than the sum of its proper divisors (10145261629440).

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

2854870824960 is a wasteful number, since it uses less digits than its factorization.

2854870824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 2854870824960 in words is "two trillion, eight hundred fifty-four billion, eight hundred seventy million, eight hundred twenty-four thousand, nine hundred sixty".