2072881150600 has 192 divisors, whose sum is σ = 5283221383440. Its totient is φ = 751738060800.

The previous prime is 2072881150567. The next prime is 2072881150601. The reversal of 2072881150600 is 60511882702.

It can be written as a sum of positive squares in 24 ways, for example, as 113155540996 + 1959725609604 = 336386^2 + 1399902^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2072881150601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 45719142 + ... + 45764458.

Almost surely, 2^{2072881150600} is an apocalyptic number.

2072881150600 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 2072881150600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641610691720).

2072881150600 is an abundant number, since it is smaller than the sum of its proper divisors (3210340232840).

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

2072881150600 is a wasteful number, since it uses less digits than its factorization.

2072881150600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45660 (or 45651 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 2072881150600 in words is "two trillion, seventy-two billion, eight hundred eighty-one million, one hundred fifty thousand, six hundred".