2930583040 has 160 divisors (see below), whose sum is σ = 8760939264. Its totient is φ = 913367040.

The previous prime is 2930583037. The next prime is 2930583059. The reversal of 2930583040 is 403850392.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 2930582987 and 2930583005.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 189687 + ... + 204553.

Almost surely, 2^2930583040 is an apocalyptic number.

2930583040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2930583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380469632).

2930583040 is an abundant number, since it is smaller than the sum of its proper divisors (5830356224).

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

2930583040 is a wasteful number, since it uses less digits than its factorization.

2930583040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14908 (or 14892 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 2930583040 is about 54134.8597485945. The cubic root of 2930583040 is about 1431.0385856566.

The spelling of 2930583040 in words is "two billion, nine hundred thirty million, five hundred eighty-three thousand, forty".