2073427200 has 648 divisors, whose sum is σ = 8348840640. Its totient is φ = 503193600.

The previous prime is 2073427199. The next prime is 2073427243. The reversal of 2073427200 is 27243702.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 29203165 + ... + 29203235.

Almost surely, 2^2073427200 is an apocalyptic number.

2073427200 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 2073427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174420320).

2073427200 is an abundant number, since it is smaller than the sum of its proper divisors (6275413440).

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

2073427200 is a wasteful number, since it uses less digits than its factorization.

2073427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 2073427200 is about 45534.9009002984. The cubic root of 2073427200 is about 1275.1548600828.

The spelling of 2073427200 in words is "two billion, seventy-three million, four hundred twenty-seven thousand, two hundred".