2072845557120 has 512 divisors, whose sum is σ = 7324578938880. Its totient is φ = 495415001088.

The previous prime is 2072845557091. The next prime is 2072845557161. The reversal of 2072845557120 is 217555482702.

It is a super-3 number, since 3×2072845557120³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2072845557120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148979284 + ... + 148993196.

It is an arithmetic number, because the mean of its divisors is an integer number (14305818240).

Almost surely, 2^{2072845557120} is an apocalyptic number.

2072845557120 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 2072845557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662289469440).

2072845557120 is an abundant number, since it is smaller than the sum of its proper divisors (5251733381760).

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

2072845557120 is a wasteful number, since it uses less digits than its factorization.

2072845557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14122 (or 14110 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 48.

The spelling of 2072845557120 in words is "two trillion, seventy-two billion, eight hundred forty-five million, five hundred fifty-seven thousand, one hundred twenty".