2933674656 has 288 divisors, whose sum is σ = 9142543872. Its totient is φ = 814894080.

The previous prime is 2933674637. The next prime is 2933674703. The reversal of 2933674656 is 6564763392.

It is a happy number.

Its product of digits (4898880) is a multiple of the sum of its prime divisors (135).

It is a junction number, because it is equal to n+sod(n) for n = 2933674599 and 2933674608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55352326 + ... + 55352378.

It is an arithmetic number, because the mean of its divisors is an integer number (31744944).

Almost surely, 2^2933674656 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 2933674656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571271936).

2933674656 is an abundant number, since it is smaller than the sum of its proper divisors (6208869216).

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

2933674656 is a wasteful number, since it uses less digits than its factorization.

2933674656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 135 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 51.

The square root of 2933674656 is about 54163.4069829438. The cubic root of 2933674656 is about 1431.5416331006.

The spelling of 2933674656 in words is "two billion, nine hundred thirty-three million, six hundred seventy-four thousand, six hundred fifty-six".