2072851600 has 60 divisors (see below), whose sum is σ = 4990300020. Its totient is φ = 827430400.

The previous prime is 2072851567. The next prime is 2072851601. The reversal of 2072851600 is 61582702.

It can be written as a sum of positive squares in 6 ways, for example, as 12054784 + 2060796816 = 3472^2 + 45396^2 .

It is not an unprimeable number, because it can be changed into a prime (2072851601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198510 + ... + 208690.

It is an arithmetic number, because the mean of its divisors is an integer number (83171667).

Almost surely, 2^2072851600 is an apocalyptic number.

2072851600 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 2072851600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495150010).

2072851600 is an abundant number, since it is smaller than the sum of its proper divisors (2917448420).

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

2072851600 is a wasteful number, since it uses less digits than its factorization.

2072851600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10708 (or 10697 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 2072851600 is about 45528.5800349627. The cubic root of 2072851600 is about 1275.0368514275.

The spelling of 2072851600 in words is "two billion, seventy-two million, eight hundred fifty-one thousand, six hundred".