2194093440 has 1024 divisors, whose sum is σ = 10363852800. Its totient is φ = 424673280.

The previous prime is 2194093409. The next prime is 2194093459. The reversal of 2194093440 is 443904912.

2194093440 is a `hidden beast` number, since 219 + 409 + 34 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2194093395 and 2194093404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22619472 + ... + 22619568.

It is an arithmetic number, because the mean of its divisors is an integer number (10120950).

Almost surely, 2^2194093440 is an apocalyptic number.

2194093440 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 2194093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181926400).

2194093440 is an abundant number, since it is smaller than the sum of its proper divisors (8169759360).

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

2194093440 is a wasteful number, since it uses less digits than its factorization.

2194093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2194093440 is about 46841.1511387156. The cubic root of 2194093440 is about 1299.4264610050.

The spelling of 2194093440 in words is "two billion, one hundred ninety-four million, ninety-three thousand, four hundred forty".