2695840000 has 360 divisors, whose sum is σ = 8045674560. Its totient is φ = 881664000.

The previous prime is 2695839989. The next prime is 2695840001. The reversal of 2695840000 is 485962.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2695840001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32479959 + ... + 32480041.

It is an arithmetic number, because the mean of its divisors is an integer number (22349096).

Almost surely, 2^2695840000 is an apocalyptic number.

2695840000 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 2695840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022837280).

2695840000 is an abundant number, since it is smaller than the sum of its proper divisors (5349834560).

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

2695840000 is an frugal number, since it uses more digits than its factorization.

2695840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 2695840000 is about 51921.4791776968. The cubic root of 2695840000 is about 1391.7611339812.

The spelling of 2695840000 in words is "two billion, six hundred ninety-five million, eight hundred forty thousand".