2895436680 has 64 divisors (see below), whose sum is σ = 8717768640. Its totient is φ = 769320192.

The previous prime is 2895436679. The next prime is 2895436681. The reversal of 2895436680 is 866345982.

It is an interprime number because it is at equal distance from previous prime (2895436679) and next prime (2895436681).

It is not an unprimeable number, because it can be changed into a prime (2895436681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10314 + ... + 76793.

It is an arithmetic number, because the mean of its divisors is an integer number (136215135).

Almost surely, 2^2895436680 is an apocalyptic number.

2895436680 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 2895436680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358884320).

2895436680 is an abundant number, since it is smaller than the sum of its proper divisors (5822331960).

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

2895436680 is a wasteful number, since it uses less digits than its factorization.

2895436680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87398 (or 87394 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The square root of 2895436680 is about 53809.2620280189. The cubic root of 2895436680 is about 1425.2947669691.

The spelling of 2895436680 in words is "two billion, eight hundred ninety-five million, four hundred thirty-six thousand, six hundred eighty".