2769816060 has 288 divisors, whose sum is σ = 9589612032. Its totient is φ = 665521920.

The previous prime is 2769816059. The next prime is 2769816073. The reversal of 2769816060 is 606189672.

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

It is a junction number, because it is equal to n+sod(n) for n = 2769815997 and 2769816015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10531489 + ... + 10531751.

It is an arithmetic number, because the mean of its divisors is an integer number (33297264).

Almost surely, 2^2769816060 is an apocalyptic number.

2769816060 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 2769816060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794806016).

2769816060 is an abundant number, since it is smaller than the sum of its proper divisors (6819795972).

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

2769816060 is a wasteful number, since it uses less digits than its factorization.

2769816060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2769816060 is about 52629.0419825404. The cubic root of 2769816060 is about 1404.3767890765.

The spelling of 2769816060 in words is "two billion, seven hundred sixty-nine million, eight hundred sixteen thousand, sixty".