2834628830460 has 1536 divisors, whose sum is σ = 11354950656000. Its totient is φ = 579400335360.

The previous prime is 2834628830437. The next prime is 2834628830513. The reversal of 2834628830460 is 640388264382.

2834628830460 is a `hidden beast` number, since 2 + 8 + 3 + 4 + 628 + 8 + 3 + 0 + 4 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2834628830397 and 2834628830406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 13434259755 + ... + 13434259965.

It is an arithmetic number, because the mean of its divisors is an integer number (7392546000).

Almost surely, 2^{2834628830460} is an apocalyptic number.

2834628830460 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 2834628830460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677475328000).

2834628830460 is an abundant number, since it is smaller than the sum of its proper divisors (8520321825540).

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

2834628830460 is a wasteful number, since it uses less digits than its factorization.

2834628830460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 2834628830460 in words is "two trillion, eight hundred thirty-four billion, six hundred twenty-eight million, eight hundred thirty thousand, four hundred sixty".