2765168340 has 96 divisors (see below), whose sum is σ = 8589611520. Its totient is φ = 658972800.

The previous prime is 2765168339. The next prime is 2765168347. The reversal of 2765168340 is 438615672.

It is a junction number, because it is equal to n+sod(n) for n = 2765168292 and 2765168301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2765168347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3435 + ... + 74445.

It is an arithmetic number, because the mean of its divisors is an integer number (89475120).

Almost surely, 2^2765168340 is an apocalyptic number.

2765168340 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 2765168340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294805760).

2765168340 is an abundant number, since it is smaller than the sum of its proper divisors (5824443180).

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

2765168340 is a wasteful number, since it uses less digits than its factorization.

2765168340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71093 (or 71091 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2765168340 is about 52584.8679754927. The cubic root of 2765168340 is about 1403.5908398554.

The spelling of 2765168340 in words is "two billion, seven hundred sixty-five million, one hundred sixty-eight thousand, three hundred forty".