2789519040 has 672 divisors, whose sum is σ = 12508992000. Its totient is φ = 578672640.

The previous prime is 2789519039. The next prime is 2789519041. The reversal of 2789519040 is 409159872.

It is an interprime number because it is at equal distance from previous prime (2789519039) and next prime (2789519041).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2789519041) 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 95 ways as a sum of consecutive naturals, for example, 4656661 + ... + 4657259.

Almost surely, 2^2789519040 is an apocalyptic number.

2789519040 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 2789519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254496000).

2789519040 is an abundant number, since it is smaller than the sum of its proper divisors (9719472960).

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

2789519040 is a wasteful number, since it uses less digits than its factorization.

2789519040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2789519040 is about 52815.8976066866. The cubic root of 2789519040 is about 1407.6989176296.

The spelling of 2789519040 in words is "two billion, seven hundred eighty-nine million, five hundred nineteen thousand, forty".