2073578190080 has 288 divisors, whose sum is σ = 5100731032320. Its totient is φ = 807463157760.

The previous prime is 2073578190049. The next prime is 2073578190113. The reversal of 2073578190080 is 800918753702.

It is a super-2 number, since 2×2073578190080² (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 2790818189 + ... + 2790818931.

It is an arithmetic number, because the mean of its divisors is an integer number (17710871640).

Almost surely, 2^{2073578190080} is an apocalyptic number.

2073578190080 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 2073578190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550365516160).

2073578190080 is an abundant number, since it is smaller than the sum of its proper divisors (3027152842240).

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

2073578190080 is a wasteful number, since it uses less digits than its factorization.

2073578190080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 50.

The spelling of 2073578190080 in words is "two trillion, seventy-three billion, five hundred seventy-eight million, one hundred ninety thousand, eighty".