2893516080 has 480 divisors, whose sum is σ = 11683252224. Its totient is φ = 576792576.

The previous prime is 2893516049. The next prime is 2893516091. The reversal of 2893516080 is 806153982.

2893516080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7884057 + ... + 7884423.

Almost surely, 2^2893516080 is an apocalyptic number.

2893516080 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 2893516080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5841626112).

2893516080 is an abundant number, since it is smaller than the sum of its proper divisors (8789736144).

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

2893516080 is a wasteful number, since it uses less digits than its factorization.

2893516080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 2893516080 is about 53791.4126975673. The cubic root of 2893516080 is about 1424.9795552622.

The spelling of 2893516080 in words is "two billion, eight hundred ninety-three million, five hundred sixteen thousand, eighty".