2895737064 has 128 divisors (see below), whose sum is σ = 8027873280. Its totient is φ = 863136000.

The previous prime is 2895736979. The next prime is 2895737071. The reversal of 2895737064 is 4607375982.

It is a junction number, because it is equal to n+sod(n) for n = 2895736998 and 2895737016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5945829 + ... + 5946315.

It is an arithmetic number, because the mean of its divisors is an integer number (62717760).

Almost surely, 2^2895737064 is an apocalyptic number.

2895737064 is a gapful number since it is divisible by the number (24) 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 2895737064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013936640).

2895737064 is an abundant number, since it is smaller than the sum of its proper divisors (5132136216).

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

2895737064 is a wasteful number, since it uses less digits than its factorization.

2895737064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The square root of 2895737064 is about 53812.0531479705. The cubic root of 2895737064 is about 1425.3440538282.

The spelling of 2895737064 in words is "two billion, eight hundred ninety-five million, seven hundred thirty-seven thousand, sixty-four".