2746630656 has 240 divisors, whose sum is σ = 9884242368. Its totient is φ = 713318400.

The previous prime is 2746630643. The next prime is 2746630699. The reversal of 2746630656 is 6560366472.

2746630656 is a `hidden beast` number, since 2 + 7 + 4 + 6 + 630 + 6 + 5 + 6 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 350946 + ... + 358686.

Almost surely, 2^2746630656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2746630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942121184).

2746630656 is an abundant number, since it is smaller than the sum of its proper divisors (7137611712).

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

2746630656 is a wasteful number, since it uses less digits than its factorization.

2746630656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7783 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 2746630656 is about 52408.3071277827. The cubic root of 2746630656 is about 1400.4472475821.

The spelling of 2746630656 in words is "two billion, seven hundred forty-six million, six hundred thirty thousand, six hundred fifty-six".