2667629690944 has 21 divisors (see below), whose sum is σ = 5293603596541. Its totient is φ = 1333808312320.

The previous prime is 2667629690941. The next prime is 2667629690983. The reversal of 2667629690944 is 4490969267662.

The square root of 2667629690944 is 1633288.

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

It can be written as a sum of positive squares in only one way, i.e., 26132544 + 2667603558400 = 5112^2 + 1633280^2 .

It is a super-2 number, since 2×2667629690944² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2667629690941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 12964224 + ... + 13168384.

Almost surely, 2^{2667629690944} is an apocalyptic number.

2667629690944 is the 1633288-th square number.

It is an amenable number.

2667629690944 is a deficient number, since it is larger than the sum of its proper divisors (2625973905597).

2667629690944 is an frugal number, since it uses more digits than its factorization.

2667629690944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408334 (or 204163 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 70.

The spelling of 2667629690944 in words is "two trillion, six hundred sixty-seven billion, six hundred twenty-nine million, six hundred ninety thousand, nine hundred forty-four".