2089612800 has 720 divisors, whose sum is σ = 8726910192. Its totient is φ = 471859200.

The previous prime is 2089612787. The next prime is 2089612823. The reversal of 2089612800 is 82169802.

It is a tau number, because it is divible by the number of its divisors (720).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21542352 + ... + 21542448.

Almost surely, 2^2089612800 is an apocalyptic number.

2089612800 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 2089612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363455096).

2089612800 is an abundant number, since it is smaller than the sum of its proper divisors (6637297392).

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

2089612800 is a wasteful number, since it uses less digits than its factorization.

2089612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2089612800 is about 45712.2828132658. The cubic root of 2089612800 is about 1278.4643040999.

The spelling of 2089612800 in words is "two billion, eighty-nine million, six hundred twelve thousand, eight hundred".