2830637040 has 320 divisors, whose sum is σ = 11176427520. Its totient is φ = 575493120.

The previous prime is 2830637021. The next prime is 2830637083. The reversal of 2830637040 is 407360382.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2830636992 and 2830637010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 866931 + ... + 870189.

It is an arithmetic number, because the mean of its divisors is an integer number (34926336).

Almost surely, 2^2830637040 is an apocalyptic number.

2830637040 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 2830637040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588213760).

2830637040 is an abundant number, since it is smaller than the sum of its proper divisors (8345790480).

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

2830637040 is a wasteful number, since it uses less digits than its factorization.

2830637040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 2830637040 is about 53203.7314480855. The cubic root of 2830637040 is about 1414.5817856983.

The spelling of 2830637040 in words is "two billion, eight hundred thirty million, six hundred thirty-seven thousand, forty".