2707067328 has 168 divisors, whose sum is σ = 8386584192. Its totient is φ = 768370176.

The previous prime is 2707067303. The next prime is 2707067359. The reversal of 2707067328 is 8237607072.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2707067328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1570275 + ... + 1571997.

It is an arithmetic number, because the mean of its divisors is an integer number (49920144).

Almost surely, 2^2707067328 is an apocalyptic number.

2707067328 is a gapful number since it is divisible by the number (28) 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 2707067328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193292096).

2707067328 is an abundant number, since it is smaller than the sum of its proper divisors (5679516864).

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

2707067328 is a wasteful number, since it uses less digits than its factorization.

2707067328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 2707067328 is about 52029.4851790790. The cubic root of 2707067328 is about 1393.6905408539.

The spelling of 2707067328 in words is "two billion, seven hundred seven million, sixty-seven thousand, three hundred twenty-eight".