2667728520 has 80 divisors (see below), whose sum is σ = 8966542860. Its totient is φ = 711393408.

The previous prime is 2667728491. The next prime is 2667728537. The reversal of 2667728520 is 258277662.

It can be written as a sum of positive squares in 2 ways, for example, as 2541974724 + 125753796 = 50418^2 + 11214^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 408447 + ... + 414926.

Almost surely, 2^2667728520 is an apocalyptic number.

2667728520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2667728520 is an abundant number, since it is smaller than the sum of its proper divisors (6298814340).

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

2667728520 is a wasteful number, since it uses less digits than its factorization.

2667728520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823396 (or 823383 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2667728520 is about 51650.0582768306. The cubic root of 2667728520 is about 1386.9065862709.

The spelling of 2667728520 in words is "two billion, six hundred sixty-seven million, seven hundred twenty-eight thousand, five hundred twenty".