2830828714560 has 1344 divisors, whose sum is σ = 12477565900800. Its totient is φ = 571968552960.

The previous prime is 2830828714537. The next prime is 2830828714583. The reversal of 2830828714560 is 654178280382.

2830828714560 is a `hidden beast` number, since 2 + 8 + 3 + 0 + 8 + 2 + 8 + 71 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2830828714537) and next prime (2830828714583).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×2830828714560² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2830828714497 and 2830828714506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2698596916 + ... + 2698597964.

It is an arithmetic number, because the mean of its divisors is an integer number (9283903200).

Almost surely, 2^{2830828714560} is an apocalyptic number.

2830828714560 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 2830828714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6238782950400).

2830828714560 is an abundant number, since it is smaller than the sum of its proper divisors (9646737186240).

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

2830828714560 is a wasteful number, since it uses less digits than its factorization.

2830828714560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 2830828714560 in words is "two trillion, eight hundred thirty billion, eight hundred twenty-eight million, seven hundred fourteen thousand, five hundred sixty".