2667709128 has 128 divisors (see below), whose sum is σ = 7789824000. Its totient is φ = 745597440.

The previous prime is 2667709097. The next prime is 2667709129. The reversal of 2667709128 is 8219077662.

It is a super-2 number, since 2×2667709128² = 14233343983229040768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2667709129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1657188 + ... + 1658796.

It is an arithmetic number, because the mean of its divisors is an integer number (60858000).

Almost surely, 2^2667709128 is an apocalyptic number.

2667709128 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 2667709128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894912000).

2667709128 is an abundant number, since it is smaller than the sum of its proper divisors (5122114872).

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

2667709128 is a wasteful number, since it uses less digits than its factorization.

2667709128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 2667709128 is about 51649.8705516287. The cubic root of 2667709128 is about 1386.9032257393.

The spelling of 2667709128 in words is "two billion, six hundred sixty-seven million, seven hundred nine thousand, one hundred twenty-eight".