2072874720 has 288 divisors, whose sum is σ = 7669638144. Its totient is φ = 460984320.

The previous prime is 2072874707. The next prime is 2072874721. The reversal of 2072874720 is 274782702.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072874721) 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, 5647977 + ... + 5648343.

It is an arithmetic number, because the mean of its divisors is an integer number (26630688).

Almost surely, 2^2072874720 is an apocalyptic number.

2072874720 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 2072874720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834819072).

2072874720 is an abundant number, since it is smaller than the sum of its proper divisors (5596763424).

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

2072874720 is a wasteful number, since it uses less digits than its factorization.

2072874720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 39.

The square root of 2072874720 is about 45528.8339407018. The cubic root of 2072874720 is about 1275.0415918766.

The spelling of 2072874720 in words is "two billion, seventy-two million, eight hundred seventy-four thousand, seven hundred twenty".