2670056160 has 192 divisors, whose sum is σ = 8704584000. Its totient is φ = 687439872.

The previous prime is 2670056119. The next prime is 2670056171. The reversal of 2670056160 is 616500762.

2670056160 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2645736 + ... + 2646744.

It is an arithmetic number, because the mean of its divisors is an integer number (45336375).

Almost surely, 2^2670056160 is an apocalyptic number.

2670056160 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 2670056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352292000).

2670056160 is an abundant number, since it is smaller than the sum of its proper divisors (6034527840).

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

2670056160 is a wasteful number, since it uses less digits than its factorization.

2670056160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2670056160 is about 51672.5861555235. The cubic root of 2670056160 is about 1387.3098358000.

The spelling of 2670056160 in words is "two billion, six hundred seventy million, fifty-six thousand, one hundred sixty".