2830464000 has 1056 divisors, whose sum is σ = 13018526976. Its totient is φ = 597196800.

The previous prime is 2830463969. The next prime is 2830464017. The reversal of 2830464000 is 4640382.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 12.

It is a congruent number.

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, 217727994 + ... + 217728006.

Almost surely, 2^2830464000 is an apocalyptic number.

2830464000 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 2830464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6509263488).

2830464000 is an abundant number, since it is smaller than the sum of its proper divisors (10188062976).

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

2830464000 is an equidigital number, since it uses as much as digits as its factorization.

2830464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2830464000 is about 53202.1052215042. The cubic root of 2830464000 is about 1414.5529601233.

The spelling of 2830464000 in words is "two billion, eight hundred thirty million, four hundred sixty-four thousand".