2885016960 has 1024 divisors, whose sum is σ = 13113446400. Its totient is φ = 583925760.

The previous prime is 2885016941. The next prime is 2885016997. The reversal of 2885016960 is 696105882.

2885016960 is a `hidden beast` number, since 2 + 88 + 501 + 6 + 9 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47295330 + ... + 47295390.

It is an arithmetic number, because the mean of its divisors is an integer number (12806100).

Almost surely, 2^2885016960 is an apocalyptic number.

2885016960 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 2885016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556723200).

2885016960 is an abundant number, since it is smaller than the sum of its proper divisors (10228429440).

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

2885016960 is a wasteful number, since it uses less digits than its factorization.

2885016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 2885016960 is about 53712.3538862337. The cubic root of 2885016960 is about 1423.5829902948.

The spelling of 2885016960 in words is "two billion, eight hundred eighty-five million, sixteen thousand, nine hundred sixty".