2795268960 has 384 divisors, whose sum is σ = 10864627200. Its totient is φ = 665487360.

The previous prime is 2795268953. The next prime is 2795268967. The reversal of 2795268960 is 698625972.

2795268960 is a `hidden beast` number, since 27 + 9 + 526 + 8 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2795268953) and next prime (2795268967).

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 = 2795268897 and 2795268906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2795268967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2803182 + ... + 2804178.

It is an arithmetic number, because the mean of its divisors is an integer number (28293300).

Almost surely, 2^2795268960 is an apocalyptic number.

2795268960 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 2795268960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5432313600).

2795268960 is an abundant number, since it is smaller than the sum of its proper divisors (8069358240).

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

2795268960 is a wasteful number, since it uses less digits than its factorization.

2795268960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 2795268960 is about 52870.3031956504. The cubic root of 2795268960 is about 1408.6654643140.

The spelling of 2795268960 in words is "two billion, seven hundred ninety-five million, two hundred sixty-eight thousand, nine hundred sixty".