2893518960 has 80 divisors (see below), whose sum is σ = 9012577920. Its totient is φ = 767934720.

The previous prime is 2893518839. The next prime is 2893518989. The reversal of 2893518960 is 698153982.

It is a happy number.

2893518960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22071 + ... + 79209.

It is an arithmetic number, because the mean of its divisors is an integer number (112657224).

Almost surely, 2^2893518960 is an apocalyptic number.

2893518960 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 2893518960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506288960).

2893518960 is an abundant number, since it is smaller than the sum of its proper divisors (6119058960).

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

2893518960 is a wasteful number, since it uses less digits than its factorization.

2893518960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57366 (or 57360 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The square root of 2893518960 is about 53791.4394676328. The cubic root of 2893518960 is about 1424.9800280365.

It can be divided in two parts, 28935 and 18960, that added together give a triangular number (47895 = T₃₀₉).

The spelling of 2893518960 in words is "two billion, eight hundred ninety-three million, five hundred eighteen thousand, nine hundred sixty".