2696718960 has 320 divisors, whose sum is σ = 10090604160. Its totient is φ = 658022400.

The previous prime is 2696718949. The next prime is 2696719009. The reversal of 2696718960 is 698176962.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2696718897 and 2696718906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3846610 + ... + 3847310.

It is an arithmetic number, because the mean of its divisors is an integer number (31533138).

Almost surely, 2^2696718960 is an apocalyptic number.

2696718960 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 2696718960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045302080).

2696718960 is an abundant number, since it is smaller than the sum of its proper divisors (7393885200).

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

2696718960 is a wasteful number, since it uses less digits than its factorization.

2696718960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 2696718960 is about 51929.9428075942. The cubic root of 2696718960 is about 1391.9123755782.

It can be divided in two parts, 26967189 and 60, that added together give a square (26967249 = 5193²).

The spelling of 2696718960 in words is "two billion, six hundred ninety-six million, seven hundred eighteen thousand, nine hundred sixty".