2930093760 has 224 divisors, whose sum is σ = 10194170112. Its totient is φ = 707153920.

The previous prime is 2930093753. The next prime is 2930093821. The reversal of 2930093760 is 673900392.

2930093760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3093607 + ... + 3094553.

It is an arithmetic number, because the mean of its divisors is an integer number (45509688).

Almost surely, 2^2930093760 is an apocalyptic number.

2930093760 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 2930093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097085056).

2930093760 is an abundant number, since it is smaller than the sum of its proper divisors (7264076352).

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

2930093760 is a wasteful number, since it uses less digits than its factorization.

2930093760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The square root of 2930093760 is about 54130.3404755595. The cubic root of 2930093760 is about 1430.9589408078.

The spelling of 2930093760 in words is "two billion, nine hundred thirty million, ninety-three thousand, seven hundred sixty".