2795752960 has 320 divisors, whose sum is σ = 9008423424. Its totient is φ = 803635200.

The previous prime is 2795752951. The next prime is 2795752979. The reversal of 2795752960 is 692575972.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2795752960² = 15632469226697523200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 2795752898 and 2795752907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2562015 + ... + 2563105.

Almost surely, 2^2795752960 is an apocalyptic number.

2795752960 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 2795752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504211712).

2795752960 is an abundant number, since it is smaller than the sum of its proper divisors (6212670464).

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

2795752960 is a wasteful number, since it uses less digits than its factorization.

2795752960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 52.

The square root of 2795752960 is about 52874.8802362710. The cubic root of 2795752960 is about 1408.7467629592.

The spelling of 2795752960 in words is "two billion, seven hundred ninety-five million, seven hundred fifty-two thousand, nine hundred sixty".