2073600000000 has 765 divisors, whose sum is σ = 7743936953071. Its totient is φ = 552960000000.

The previous prime is 2073599999993. The next prime is 2073600000001. The reversal of 2073600000000 is 63702.

The square root of 2073600000000 is 1440000.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1474301067264 + 599298932736 = 1214208^2 + 774144^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2073600000001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 414719999998 + ... + 414720000002.

Almost surely, 2^{2073600000000} is an apocalyptic number.

2073600000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2073600000000 is the 1440000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2073600000000

2073600000000 is an abundant number, since it is smaller than the sum of its proper divisors (5670336953071).

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

2073600000000 is an frugal number, since it uses more digits than its factorization.

2073600000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

Adding to 2073600000000 its reverse (63702), we get a palindrome (2073600063702).

The spelling of 2073600000000 in words is "two trillion, seventy-three billion, six hundred million", and thus it is an aban number.