2834813680 has 80 divisors (see below), whose sum is σ = 6950448000. Its totient is φ = 1072293120.

The previous prime is 2834813633. The next prime is 2834813701. The reversal of 2834813680 is 863184382.

It is a tau number, because it is divible by the number of its divisors (80).

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, 1048971 + ... + 1051669.

It is an arithmetic number, because the mean of its divisors is an integer number (86880600).

Almost surely, 2^2834813680 is an apocalyptic number.

2834813680 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 2834813680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475224000).

2834813680 is an abundant number, since it is smaller than the sum of its proper divisors (4115634320).

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

2834813680 is a wasteful number, since it uses less digits than its factorization.

2834813680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 2834813680 is about 53242.9683620288. The cubic root of 2834813680 is about 1415.2771880985.

The spelling of 2834813680 in words is "two billion, eight hundred thirty-four million, eight hundred thirteen thousand, six hundred eighty".