2834540820 has 144 divisors (see below), whose sum is σ = 8719663680. Its totient is φ = 745279488.

The previous prime is 2834540801. The next prime is 2834540837. The reversal of 2834540820 is 280454382.

2834540820 is a `hidden beast` number, since 2 + 8 + 34 + 540 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4828567 + ... + 4829153.

It is an arithmetic number, because the mean of its divisors is an integer number (60553220).

Almost surely, 2^2834540820 is an apocalyptic number.

2834540820 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 2834540820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359831840).

2834540820 is an abundant number, since it is smaller than the sum of its proper divisors (5885122860).

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

2834540820 is a wasteful number, since it uses less digits than its factorization.

2834540820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2834540820 is about 53240.4058962739. The cubic root of 2834540820 is about 1415.2317783035.

The spelling of 2834540820 in words is "two billion, eight hundred thirty-four million, five hundred forty thousand, eight hundred twenty".