2834958720 has 256 divisors, whose sum is σ = 9914400000. Its totient is φ = 683335680.

The previous prime is 2834958691. The next prime is 2834958733. The reversal of 2834958720 is 278594382.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2834958720.

It is a congruent number.

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, 5681031 + ... + 5681529.

It is an arithmetic number, because the mean of its divisors is an integer number (38728125).

Almost surely, 2^2834958720 is an apocalyptic number.

2834958720 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 2834958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957200000).

2834958720 is an abundant number, since it is smaller than the sum of its proper divisors (7079441280).

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

2834958720 is a wasteful number, since it uses less digits than its factorization.

2834958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 2834958720 is about 53244.3304024006. The cubic root of 2834958720 is about 1415.3013246998.

The spelling of 2834958720 in words is "two billion, eight hundred thirty-four million, nine hundred fifty-eight thousand, seven hundred twenty".