2789642240 has 416 divisors, whose sum is σ = 8775509760. Its totient is φ = 825753600.

The previous prime is 2789642237. The next prime is 2789642257. The reversal of 2789642240 is 422469872.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 2789642191 and 2789642200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45731810 + ... + 45731870.

Almost surely, 2^2789642240 is an apocalyptic number.

2789642240 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 2789642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387754880).

2789642240 is an abundant number, since it is smaller than the sum of its proper divisors (5985867520).

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

2789642240 is a wasteful number, since it uses less digits than its factorization.

2789642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 2789642240 is about 52817.0639093087. The cubic root of 2789642240 is about 1407.7196411488.

The spelling of 2789642240 in words is "two billion, seven hundred eighty-nine million, six hundred forty-two thousand, two hundred forty".