2073012006240 has 2304 divisors, whose sum is σ = 9292979404800. Its totient is φ = 409915883520.

The previous prime is 2073012006217. The next prime is 2073012006251. The reversal of 2073012006240 is 426002103702.

2073012006240 is a `hidden beast` number, since 2 + 0 + 7 + 30 + 1 + 2 + 0 + 0 + 624 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10417145661 + ... + 10417145859.

It is an arithmetic number, because the mean of its divisors is an integer number (4033411200).

Almost surely, 2^{2073012006240} is an apocalyptic number.

2073012006240 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 2073012006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646489702400).

2073012006240 is an abundant number, since it is smaller than the sum of its proper divisors (7219967398560).

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

2073012006240 is a wasteful number, since it uses less digits than its factorization.

2073012006240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 2073012006240 its reverse (426002103702), we get a palindrome (2499014109942).

The spelling of 2073012006240 in words is "two trillion, seventy-three billion, twelve million, six thousand, two hundred forty".