2830692960 has 192 divisors, whose sum is σ = 10429171200. Its totient is φ = 715101696.

The previous prime is 2830692959. The next prime is 2830693009. The reversal of 2830692960 is 692960382.

It is a super-3 number, since 3×2830692960³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

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, 64837 + ... + 99323.

It is an arithmetic number, because the mean of its divisors is an integer number (54318600).

Almost surely, 2^2830692960 is an apocalyptic number.

2830692960 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 2830692960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214585600).

2830692960 is an abundant number, since it is smaller than the sum of its proper divisors (7598478240).

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

2830692960 is a wasteful number, since it uses less digits than its factorization.

2830692960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34530 (or 34516 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2830692960 is about 53204.2569725393. The cubic root of 2830692960 is about 1414.5911007855.

The spelling of 2830692960 in words is "two billion, eight hundred thirty million, six hundred ninety-two thousand, nine hundred sixty".