2769307440 has 160 divisors (see below), whose sum is σ = 8969425920. Its totient is φ = 705911808.

The previous prime is 2769307397. The next prime is 2769307447. The reversal of 2769307440 is 447039672.

It is a junction number, because it is equal to n+sod(n) for n = 2769307392 and 2769307401.

It is not an unprimeable number, because it can be changed into a prime (2769307447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 714949 + ... + 718811.

It is an arithmetic number, because the mean of its divisors is an integer number (56058912).

Almost surely, 2^2769307440 is an apocalyptic number.

2769307440 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 2769307440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484712960).

2769307440 is an abundant number, since it is smaller than the sum of its proper divisors (6200118480).

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

2769307440 is a wasteful number, since it uses less digits than its factorization.

2769307440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4011 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 2769307440 is about 52624.2096377703. The cubic root of 2769307440 is about 1404.2908221346.

The spelling of 2769307440 in words is "two billion, seven hundred sixty-nine million, three hundred seven thousand, four hundred forty".