2830325760 has 384 divisors, whose sum is σ = 10437336000. Its totient is φ = 726663168.

The previous prime is 2830325741. The next prime is 2830325791. The reversal of 2830325760 is 675230382.

2830325760 is a `hidden beast` number, since 2 + 83 + 0 + 3 + 2 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 8017744 + ... + 8018096.

Almost surely, 2^2830325760 is an apocalyptic number.

2830325760 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 2830325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5218668000).

2830325760 is an abundant number, since it is smaller than the sum of its proper divisors (7607010240).

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

2830325760 is a wasteful number, since it uses less digits than its factorization.

2830325760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2830325760 is about 53200.8060089319. The cubic root of 2830325760 is about 1414.5299308032.

The spelling of 2830325760 in words is "two billion, eight hundred thirty million, three hundred twenty-five thousand, seven hundred sixty".