2084288400 has 180 divisors, whose sum is σ = 7658758692. Its totient is φ = 523100160.

The previous prime is 2084288369. The next prime is 2084288407. The reversal of 2084288400 is 48824802.

2084288400 is a `hidden beast` number, since 208 + 42 + 8 + 8 + 400 = 666.

2084288400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 84052224 + 2000236176 = 9168^2 + 44724^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (2084288407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44172 + ... + 78228.

Almost surely, 2^2084288400 is an apocalyptic number.

2084288400 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 2084288400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829379346).

2084288400 is an abundant number, since it is smaller than the sum of its proper divisors (5574470292).

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

2084288400 is a wasteful number, since it uses less digits than its factorization.

2084288400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34098 (or 34084 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 2084288400 is about 45654.0074911283. The cubic root of 2084288400 is about 1277.3775245986.

The spelling of 2084288400 in words is "two billion, eighty-four million, two hundred eighty-eight thousand, four hundred".