2089274400 has 432 divisors, whose sum is σ = 7706881728. Its totient is φ = 532224000.

The previous prime is 2089274399. The next prime is 2089274417. The reversal of 2089274400 is 44729802.

2089274400 is a `hidden beast` number, since 208 + 9 + 2 + 7 + 440 + 0 = 666.

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

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, 29426365 + ... + 29426435.

It is an arithmetic number, because the mean of its divisors is an integer number (17840004).

Almost surely, 2^2089274400 is an apocalyptic number.

2089274400 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 2089274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853440864).

2089274400 is an abundant number, since it is smaller than the sum of its proper divisors (5617607328).

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

2089274400 is a wasteful number, since it uses less digits than its factorization.

2089274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2089274400 is about 45708.5812512268. The cubic root of 2089274400 is about 1278.3952872185.

The spelling of 2089274400 in words is "two billion, eighty-nine million, two hundred seventy-four thousand, four hundred".