2670319872 has 360 divisors, whose sum is σ = 9081737280. Its totient is φ = 772485120.

The previous prime is 2670319871. The next prime is 2670319877. The reversal of 2670319872 is 2789130762.

2670319872 is a `hidden beast` number, since 267 + 0 + 319 + 8 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (2670319871) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5245954 + ... + 5246462.

It is an arithmetic number, because the mean of its divisors is an integer number (25227048).

Almost surely, 2^2670319872 is an apocalyptic number.

2670319872 is a gapful number since it is divisible by the number (22) 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 2670319872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540868640).

2670319872 is an abundant number, since it is smaller than the sum of its proper divisors (6411417408).

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

2670319872 is a wasteful number, since it uses less digits than its factorization.

2670319872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2670319872 is about 51675.1378517755. The cubic root of 2670319872 is about 1387.3555075245.

The spelling of 2670319872 in words is "two billion, six hundred seventy million, three hundred nineteen thousand, eight hundred seventy-two".