2089072800 has 216 divisors, whose sum is σ = 7754816160. Its totient is φ = 527731200.

The previous prime is 2089072787. The next prime is 2089072813. The reversal of 2089072800 is 82709802.

It is an interprime number because it is at equal distance from previous prime (2089072787) and next prime (2089072813).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 129165 + ... + 144435.

Almost surely, 2^2089072800 is an apocalyptic number.

2089072800 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 2089072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877408080).

2089072800 is an abundant number, since it is smaller than the sum of its proper divisors (5665743360).

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

2089072800 is a wasteful number, since it uses less digits than its factorization.

2089072800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15316 (or 15300 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2089072800 is about 45706.3759228403. The cubic root of 2089072800 is about 1278.3541672361.

The spelling of 2089072800 in words is "two billion, eighty-nine million, seventy-two thousand, eight hundred".