2785574040 has 128 divisors (see below), whose sum is σ = 8823168000. Its totient is φ = 701595648.

The previous prime is 2785574023. The next prime is 2785574047. The reversal of 2785574040 is 404755872.

It is a super-3 number, since 3×2785574040³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2785573983 and 2785574001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2785574047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 835096 + ... + 838424.

It is an arithmetic number, because the mean of its divisors is an integer number (68931000).

Almost surely, 2^2785574040 is an apocalyptic number.

2785574040 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 2785574040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411584000).

2785574040 is an abundant number, since it is smaller than the sum of its proper divisors (6037593960).

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

2785574040 is a wasteful number, since it uses less digits than its factorization.

2785574040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The square root of 2785574040 is about 52778.5376834182. The cubic root of 2785574040 is about 1407.0350048296.

The spelling of 2785574040 in words is "two billion, seven hundred eighty-five million, five hundred seventy-four thousand, forty".