2078463200 has 288 divisors, whose sum is σ = 6029614080. Its totient is φ = 691200000.

The previous prime is 2078463199. The next prime is 2078463203. The reversal of 2078463200 is 23648702.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2078463203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5183000 + ... + 5183400.

It is an arithmetic number, because the mean of its divisors is an integer number (20936160).

Almost surely, 2^2078463200 is an apocalyptic number.

2078463200 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 2078463200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014807040).

2078463200 is an abundant number, since it is smaller than the sum of its proper divisors (3951150880).

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

2078463200 is a wasteful number, since it uses less digits than its factorization.

2078463200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 2078463200 is about 45590.1656061919. The cubic root of 2078463200 is about 1276.1864030640.

The spelling of 2078463200 in words is "two billion, seventy-eight million, four hundred sixty-three thousand, two hundred".