2670601760 has 96 divisors (see below), whose sum is σ = 6600424320. Its totient is φ = 1019189248.

The previous prime is 2670601741. The next prime is 2670601771. The reversal of 2670601760 is 671060762.

It is a super-2 number, since 2×2670601760² = 14264227521030195200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2670601760.

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, 2071196 + ... + 2072484.

It is an arithmetic number, because the mean of its divisors is an integer number (68754420).

Almost surely, 2^2670601760 is an apocalyptic number.

2670601760 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 2670601760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300212160).

2670601760 is an abundant number, since it is smaller than the sum of its proper divisors (3929822560).

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

2670601760 is a wasteful number, since it uses less digits than its factorization.

2670601760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 2670601760 is about 51677.8652809885. The cubic root of 2670601760 is about 1387.4043237872.

The spelling of 2670601760 in words is "two billion, six hundred seventy million, six hundred one thousand, seven hundred sixty".