2894884882560 has 1536 divisors, whose sum is σ = 12007131552000. Its totient is φ = 634798080000.

The previous prime is 2894884882429. The next prime is 2894884882573. The reversal of 2894884882560 is 652884884982.

2894884882560 is a `hidden beast` number, since 2 + 8 + 9 + 4 + 88 + 488 + 2 + 5 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3526046950 + ... + 3526047770.

Almost surely, 2^{2894884882560} is an apocalyptic number.

2894884882560 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 2894884882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6003565776000).

2894884882560 is an abundant number, since it is smaller than the sum of its proper divisors (9112246669440).

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

2894884882560 is a wasteful number, since it uses less digits than its factorization.

2894884882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 566231040, while the sum is 72.

The spelling of 2894884882560 in words is "two trillion, eight hundred ninety-four billion, eight hundred eighty-four million, eight hundred eighty-two thousand, five hundred sixty".