2670149160 has 288 divisors, whose sum is σ = 10154219400. Its totient is φ = 606735360.

The previous prime is 2670149147. The next prime is 2670149171. The reversal of 2670149160 is 619410762.

It can be written as a sum of positive squares in 4 ways, for example, as 2664417924 + 5731236 = 51618^2 + 2394^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4039230 + ... + 4039890.

Almost surely, 2^2670149160 is an apocalyptic number.

2670149160 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 2670149160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077109700).

2670149160 is an abundant number, since it is smaller than the sum of its proper divisors (7484070240).

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

2670149160 is a wasteful number, since it uses less digits than its factorization.

2670149160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2670149160 is about 51673.4860445858. The cubic root of 2670149160 is about 1387.3259426169.

The spelling of 2670149160 in words is "two billion, six hundred seventy million, one hundred forty-nine thousand, one hundred sixty".