2834635540 has 72 divisors (see below), whose sum is σ = 6567795360. Its totient is φ = 1026886080.

The previous prime is 2834635513. The next prime is 2834635541. The reversal of 2834635540 is 455364382.

It is a junction number, because it is equal to n+sod(n) for n = 2834635493 and 2834635502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2834635541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682791 + ... + 686929.

It is an arithmetic number, because the mean of its divisors is an integer number (91219380).

Almost surely, 2^2834635540 is an apocalyptic number.

2834635540 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 2834635540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283897680).

2834635540 is an abundant number, since it is smaller than the sum of its proper divisors (3733159820).

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

2834635540 is a wasteful number, since it uses less digits than its factorization.

2834635540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The square root of 2834635540 is about 53241.2954387851. The cubic root of 2834635540 is about 1415.2475420867.

The spelling of 2834635540 in words is "two billion, eight hundred thirty-four million, six hundred thirty-five thousand, five hundred forty".