2795936000 has 432 divisors, whose sum is σ = 8402704128. Its totient is φ = 918528000.

The previous prime is 2795935999. The next prime is 2795936027. The reversal of 2795936000 is 6395972.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59487977 + ... + 59488023.

It is an arithmetic number, because the mean of its divisors is an integer number (19450704).

Almost surely, 2^2795936000 is an apocalyptic number.

2795936000 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 2795936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201352064).

2795936000 is an abundant number, since it is smaller than the sum of its proper divisors (5606768128).

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

2795936000 is a wasteful number, since it uses less digits than its factorization.

2795936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 41.

The square root of 2795936000 is about 52876.6110865664. The cubic root of 2795936000 is about 1408.7775061834. Note that the first 3 decimals are identical.

The spelling of 2795936000 in words is "two billion, seven hundred ninety-five million, nine hundred thirty-six thousand".