2793702240 has 576 divisors, whose sum is σ = 11887948800. Its totient is φ = 582930432.

The previous prime is 2793702227. The next prime is 2793702271. The reversal of 2793702240 is 422073972.

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 = 2793702195 and 2793702204.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 5553829 + ... + 5554331.

It is an arithmetic number, because the mean of its divisors is an integer number (20638800).

Almost surely, 2^2793702240 is an apocalyptic number.

2793702240 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 2793702240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943974400).

2793702240 is an abundant number, since it is smaller than the sum of its proper divisors (9094246560).

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

2793702240 is a wasteful number, since it uses less digits than its factorization.

2793702240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2793702240 is about 52855.4844836371. The cubic root of 2793702240 is about 1408.4022342102.

The spelling of 2793702240 in words is "two billion, seven hundred ninety-three million, seven hundred two thousand, two hundred forty".