2834216341824 has 112 divisors (see below), whose sum is σ = 8572804166016. Its totient is φ = 809523456000.

The previous prime is 2834216341769. The next prime is 2834216341837. The reversal of 2834216341824 is 4281436124382.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4001674 + ... + 4656374.

Almost surely, 2^{2834216341824} is an apocalyptic number.

2834216341824 is a gapful number since it is divisible by the number (24) 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 2834216341824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286402083008).

2834216341824 is an abundant number, since it is smaller than the sum of its proper divisors (5738587824192).

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

2834216341824 is a wasteful number, since it uses less digits than its factorization.

2834216341824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657944 (or 657934 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The spelling of 2834216341824 in words is "two trillion, eight hundred thirty-four billion, two hundred sixteen million, three hundred forty-one thousand, eight hundred twenty-four".