2078801200 has 120 divisors (see below), whose sum is σ = 5904845280. Its totient is φ = 688128000.

The previous prime is 2078801183. The next prime is 2078801237. The reversal of 2078801200 is 21088702.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68400 + ... + 94000.

It is an arithmetic number, because the mean of its divisors is an integer number (49207044).

Almost surely, 2^2078801200 is an apocalyptic number.

2078801200 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 2078801200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952422640).

2078801200 is an abundant number, since it is smaller than the sum of its proper divisors (3826044080).

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

2078801200 is a wasteful number, since it uses less digits than its factorization.

2078801200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25655 (or 25644 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 2078801200 is about 45593.8723953121. The cubic root of 2078801200 is about 1276.2555771897.

Adding to 2078801200 its reverse (21088702), we get a palindrome (2099889902).

It can be divided in two parts, 2078 and 801200, that added together give a triangular number (803278 = T₁₂₆₇).

The spelling of 2078801200 in words is "two billion, seventy-eight million, eight hundred one thousand, two hundred".