2835930240 has 576 divisors, whose sum is σ = 11629046520. Its totient is φ = 632586240.

The previous prime is 2835930233. The next prime is 2835930257. The reversal of 2835930240 is 420395382.

2835930240 is a `hidden beast` number, since 28 + 3 + 593 + 0 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 797949504 + 2037980736 = 28248^2 + 45144^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2835930240² = 16085000652292915200, which contains 22 as substring.

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 = 2835930195 and 2835930204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9060324 + ... + 9060636.

Almost surely, 2^2835930240 is an apocalyptic number.

2835930240 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 2835930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5814523260).

2835930240 is an abundant number, since it is smaller than the sum of its proper divisors (8793116280).

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

2835930240 is a wasteful number, since it uses less digits than its factorization.

2835930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2835930240 is about 53253.4528458015. The cubic root of 2835930240 is about 1415.4629774364.

The spelling of 2835930240 in words is "two billion, eight hundred thirty-five million, nine hundred thirty thousand, two hundred forty".