2789598240 has 1152 divisors, whose sum is σ = 12680478720. Its totient is φ = 547430400.

The previous prime is 2789598223. The next prime is 2789598241. The reversal of 2789598240 is 428959872.

2789598240 is a `hidden beast` number, since 2 + 7 + 8 + 9 + 598 + 2 + 40 = 666.

It is a super-2 number, since 2×2789598240² = 15563716681222195200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2789598241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89987025 + ... + 89987055.

It is an arithmetic number, because the mean of its divisors is an integer number (11007360).

Almost surely, 2^2789598240 is an apocalyptic number.

2789598240 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 2789598240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340239360).

2789598240 is an abundant number, since it is smaller than the sum of its proper divisors (9890880480).

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

2789598240 is a wasteful number, since it uses less digits than its factorization.

2789598240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 2789598240 is about 52816.6473756144. The cubic root of 2789598240 is about 1407.7122399620.

The spelling of 2789598240 in words is "two billion, seven hundred eighty-nine million, five hundred ninety-eight thousand, two hundred forty".