2801120410830 has 256 divisors, whose sum is σ = 8118591897600. Its totient is φ = 617625792000.

The previous prime is 2801120410819. The next prime is 2801120410867. The reversal of 2801120410830 is 380140211082.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101105980 + ... + 101133680.

It is an arithmetic number, because the mean of its divisors is an integer number (31713249600).

Almost surely, 2^{2801120410830} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2801120410830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059295948800).

2801120410830 is an abundant number, since it is smaller than the sum of its proper divisors (5317471486770).

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

2801120410830 is a wasteful number, since it uses less digits than its factorization.

2801120410830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28080 (or 28066 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 2801120410830 in words is "two trillion, eight hundred one billion, one hundred twenty million, four hundred ten thousand, eight hundred thirty".