2830509946880 has 1152 divisors, whose sum is σ = 9060654919680. Its totient is φ = 838139904000.

The previous prime is 2830509946879. The next prime is 2830509946883. The reversal of 2830509946880 is 886499050382.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830509946883) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12148111244 + ... + 12148111476.

It is an arithmetic number, because the mean of its divisors is an integer number (7865151840).

Almost surely, 2^{2830509946880} is an apocalyptic number.

2830509946880 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 2830509946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530327459840).

2830509946880 is an abundant number, since it is smaller than the sum of its proper divisors (6230144972800).

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

2830509946880 is a wasteful number, since it uses less digits than its factorization.

2830509946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 62.

The spelling of 2830509946880 in words is "two trillion, eight hundred thirty billion, five hundred nine million, nine hundred forty-six thousand, eight hundred eighty".