2930793345936 has 135 divisors (see below), whose sum is σ = 8258590963441. Its totient is φ = 970254486912.

The previous prime is 2930793345871. The next prime is 2930793345959. The reversal of 2930793345936 is 6395433970392.

It is a happy number.

The square root of 2930793345936 is 1711956.

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

2930793345936 is a `hidden beast` number, since 2 + 9 + 3 + 0 + 7 + 9 + 3 + 34 + 593 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1421197779600 + 1509595566336 = 1192140^2 + 1228656^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3677281090 + ... + 3677281886.

Almost surely, 2^{2930793345936} is an apocalyptic number.

2930793345936 is the 1711956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2930793345936

2930793345936 is an abundant number, since it is smaller than the sum of its proper divisors (5327797617505).

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

2930793345936 is an frugal number, since it uses more digits than its factorization.

2930793345936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 99202320, while the sum is 63.

The spelling of 2930793345936 in words is "two trillion, nine hundred thirty billion, seven hundred ninety-three million, three hundred forty-five thousand, nine hundred thirty-six".