2849968800 has 720 divisors, whose sum is σ = 12189969792. Its totient is φ = 634521600.

The previous prime is 2849968789. The next prime is 2849968811. The reversal of 2849968800 is 88699482.

It is an interprime number because it is at equal distance from previous prime (2849968789) and next prime (2849968811).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27669549 + ... + 27669651.

Almost surely, 2^2849968800 is an apocalyptic number.

2849968800 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 2849968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094984896).

2849968800 is an abundant number, since it is smaller than the sum of its proper divisors (9340000992).

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

2849968800 is a wasteful number, since it uses less digits than its factorization.

2849968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 2849968800 is about 53385.0990445836. The cubic root of 2849968800 is about 1417.7947652727.

The spelling of 2849968800 in words is "two billion, eight hundred forty-nine million, nine hundred sixty-eight thousand, eight hundred".