2094854400 has 378 divisors, whose sum is σ = 7791395850. Its totient is φ = 557383680.

The previous prime is 2094854387. The next prime is 2094854401. The reversal of 2094854400 is 44584902.

2094854400 is a `hidden beast` number, since 20 + 94 + 8 + 544 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 191102976 + 1903751424 = 13824^2 + 43632^2 .

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 (2094854401) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4665376 + ... + 4665824.

Almost surely, 2^2094854400 is an apocalyptic number.

2094854400 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 2094854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895697925).

2094854400 is an abundant number, since it is smaller than the sum of its proper divisors (5696541450).

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

2094854400 is an frugal number, since it uses more digits than its factorization.

2094854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2094854400 is about 45769.5794169009. The cubic root of 2094854400 is about 1279.5323812703.

The spelling of 2094854400 in words is "two billion, ninety-four million, eight hundred fifty-four thousand, four hundred".