2830936680 has 384 divisors, whose sum is σ = 10919301120. Its totient is φ = 627056640.

The previous prime is 2830936631. The next prime is 2830936697. The reversal of 2830936680 is 866390382.

2830936680 is a `hidden beast` number, since 283 + 0 + 9 + 366 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6537744 + ... + 6538176.

It is an arithmetic number, because the mean of its divisors is an integer number (28435680).

Almost surely, 2^2830936680 is an apocalyptic number.

2830936680 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 2830936680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459650560).

2830936680 is an abundant number, since it is smaller than the sum of its proper divisors (8088364440).

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

2830936680 is a wasteful number, since it uses less digits than its factorization.

2830936680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2830936680 is about 53206.5473414692. The cubic root of 2830936680 is about 1414.6316979412.

The spelling of 2830936680 in words is "two billion, eight hundred thirty million, nine hundred thirty-six thousand, six hundred eighty".