2667722500 has 45 divisors (see below), whose sum is σ = 5839428441. Its totient is φ = 1066056000.

The previous prime is 2667722489. The next prime is 2667722513. The reversal of 2667722500 is 52277662.

The square root of 2667722500 is 51650.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 548777476 + 2118945024 = 23426^2 + 46032^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2667722500.

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 14 ways as a sum of consecutive naturals, for example, 2581984 + ... + 2583016.

Almost surely, 2^2667722500 is an apocalyptic number.

2667722500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2667722500 is the 51650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2667722500

2667722500 is an abundant number, since it is smaller than the sum of its proper divisors (3171705941).

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

2667722500 is an frugal number, since it uses more digits than its factorization.

2667722500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The cubic root of 2667722500 is about 1386.9055430383.

The spelling of 2667722500 in words is "two billion, six hundred sixty-seven million, seven hundred twenty-two thousand, five hundred".