2073438720 has 240 divisors, whose sum is σ = 7415096832. Its totient is φ = 534896640.

The previous prime is 2073438713. The next prime is 2073438721. The reversal of 2073438720 is 278343702.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2073438721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 712789 + ... + 715691.

Almost surely, 2^2073438720 is an apocalyptic number.

2073438720 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 2073438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707548416).

2073438720 is an abundant number, since it is smaller than the sum of its proper divisors (5341658112).

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

2073438720 is a wasteful number, since it uses less digits than its factorization.

2073438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2073438720 is about 45535.0273964999. The cubic root of 2073438720 is about 1275.1572216732.

The spelling of 2073438720 in words is "two billion, seventy-three million, four hundred thirty-eight thousand, seven hundred twenty".