2834573040 has 240 divisors, whose sum is σ = 10583489280. Its totient is φ = 675164160.

The previous prime is 2834573039. The next prime is 2834573041. The reversal of 2834573040 is 403754382.

It is a happy number.

2834573040 is a `hidden beast` number, since 2 + 8 + 345 + 7 + 304 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2834573039) and next prime (2834573041).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 2834572986 and 2834573004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2834573041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285276 + ... + 295044.

It is an arithmetic number, because the mean of its divisors is an integer number (44097872).

Almost surely, 2^2834573040 is an apocalyptic number.

2834573040 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 2834573040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291744640).

2834573040 is an abundant number, since it is smaller than the sum of its proper divisors (7748916240).

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

2834573040 is a wasteful number, since it uses less digits than its factorization.

2834573040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9832 (or 9823 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2834573040 is about 53240.7084851432. The cubic root of 2834573040 is about 1415.2371405589.

The spelling of 2834573040 in words is "two billion, eight hundred thirty-four million, five hundred seventy-three thousand, forty".