2795216000 has 128 divisors (see below), whose sum is σ = 7120779120. Its totient is φ = 1090560000.

The previous prime is 2795215987. The next prime is 2795216009. The reversal of 2795216000 is 6125972.

It can be written as a sum of positive squares in 8 ways, for example, as 108659776 + 2686556224 = 10424^2 + 51832^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2795216009) 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, 653870 + ... + 658130.

Almost surely, 2^2795216000 is an apocalyptic number.

2795216000 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 2795216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560389560).

2795216000 is an abundant number, since it is smaller than the sum of its proper divisors (4325563120).

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

2795216000 is an equidigital number, since it uses as much as digits as its factorization.

2795216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4331 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 2795216000 is about 52869.8023450060. The cubic root of 2795216000 is about 1408.6565679257.

The spelling of 2795216000 in words is "two billion, seven hundred ninety-five million, two hundred sixteen thousand".