2746664000 has 56 divisors (see below), whose sum is σ = 6802133208. Its totient is φ = 1098662400.

The previous prime is 2746663991. The next prime is 2746664009. The reversal of 2746664000 is 4666472.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2746663991) and next prime (2746664009).

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 2746598464 = 256^2 + 52408^2 .

It is not an unprimeable number, because it can be changed into a prime (2746664009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 163667 + ... + 179666.

Almost surely, 2^2746664000 is an apocalyptic number.

2746664000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2746664000 is an abundant number, since it is smaller than the sum of its proper divisors (4055469208).

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

2746664000 is an equidigital number, since it uses as much as digits as its factorization.

2746664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343360 (or 343340 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 2746664000 is about 52408.6252443240. The cubic root of 2746664000 is about 1400.4529146860.

The spelling of 2746664000 in words is "two billion, seven hundred forty-six million, six hundred sixty-four thousand".