2795775972 has 96 divisors (see below), whose sum is σ = 7379164800. Its totient is φ = 816076800.

The previous prime is 2795775893. The next prime is 2795775977.

2795775972 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2795775972² = 15632726571225089568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2795775977) 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, 3172972 + ... + 3173852.

It is an arithmetic number, because the mean of its divisors is an integer number (76866300).

Almost surely, 2^2795775972 is an apocalyptic number.

2795775972 is a gapful number since it is divisible by the number (22) 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 2795775972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689582400).

2795775972 is an abundant number, since it is smaller than the sum of its proper divisors (4583388828).

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

2795775972 is a wasteful number, since it uses less digits than its factorization.

2795775972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1755 counting only the distinct ones).

The product of its digits is 19448100, while the sum is 60.

The square root of 2795775972 is about 52875.0978438811. The cubic root of 2795775972 is about 1408.7506281065.

The spelling of 2795775972 in words is "two billion, seven hundred ninety-five million, seven hundred seventy-five thousand, nine hundred seventy-two".