2705996800 has 264 divisors, whose sum is σ = 7419900096. Its totient is φ = 972226560.

The previous prime is 2705996773. The next prime is 2705996807. The reversal of 2705996800 is 86995072.

It is a super-2 number, since 2×2705996800² = 14644837363220480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2705996807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15641514 + ... + 15641686.

Almost surely, 2^2705996800 is an apocalyptic number.

2705996800 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 2705996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709950048).

2705996800 is an abundant number, since it is smaller than the sum of its proper divisors (4713903296).

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

2705996800 is a wasteful number, since it uses less digits than its factorization.

2705996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 2705996800 is about 52019.1964566928. The cubic root of 2705996800 is about 1393.5068018624.

The spelling of 2705996800 in words is "two billion, seven hundred five million, nine hundred ninety-six thousand, eight hundred".