2830613307456 has 224 divisors, whose sum is σ = 8281040486400. Its totient is φ = 846167224320.

The previous prime is 2830613307449. The next prime is 2830613307461. The reversal of 2830613307456 is 6547033160382.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 82500801 + ... + 82535103.

Almost surely, 2^{2830613307456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830613307456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140520243200).

2830613307456 is an abundant number, since it is smaller than the sum of its proper divisors (5450427178944).

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

2830613307456 is a wasteful number, since it uses less digits than its factorization.

2830613307456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34857 (or 34847 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 2830613307456 in words is "two trillion, eight hundred thirty billion, six hundred thirteen million, three hundred seven thousand, four hundred fifty-six".