2795961840 has 160 divisors (see below), whose sum is σ = 10068450816. Its totient is φ = 628577280.

The previous prime is 2795961829. The next prime is 2795961851. The reversal of 2795961840 is 481695972.

It is an interprime number because it is at equal distance from previous prime (2795961829) and next prime (2795961851).

It is a super-4 number, since 4×2795961840⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88839 + ... + 116121.

Almost surely, 2^2795961840 is an apocalyptic number.

2795961840 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 2795961840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034225408).

2795961840 is an abundant number, since it is smaller than the sum of its proper divisors (7272488976).

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

2795961840 is a wasteful number, since it uses less digits than its factorization.

2795961840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27367 (or 27361 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The square root of 2795961840 is about 52876.8554284386. The cubic root of 2795961840 is about 1408.7818461371.

The spelling of 2795961840 in words is "two billion, seven hundred ninety-five million, nine hundred sixty-one thousand, eight hundred forty".