2849111680 has 64 divisors (see below), whose sum is σ = 6817735080. Its totient is φ = 1138544640.

The previous prime is 2849111677. The next prime is 2849111723. The reversal of 2849111680 is 861119482.

2849111680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1170734656 + 1678377024 = 34216^2 + 40968^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2849111680² = 16234874730224844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1112962 + ... + 1115518.

Almost surely, 2^2849111680 is an apocalyptic number.

2849111680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2849111680 is an abundant number, since it is smaller than the sum of its proper divisors (3968623400).

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

2849111680 is a wasteful number, since it uses less digits than its factorization.

2849111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4305 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The square root of 2849111680 is about 53377.0707326657. The cubic root of 2849111680 is about 1417.6526184424.

The spelling of 2849111680 in words is "two billion, eight hundred forty-nine million, one hundred eleven thousand, six hundred eighty".