2194813440 has 120 divisors (see below), whose sum is σ = 7601336028. Its totient is φ = 585277440.

The previous prime is 2194813391. The next prime is 2194813447. The reversal of 2194813440 is 443184912.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1997017344 + 197796096 = 44688^2 + 14064^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 2194813395 and 2194813404.

It is not an unprimeable number, because it can be changed into a prime (2194813447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24591 + ... + 70670.

Almost surely, 2^2194813440 is an apocalyptic number.

2194813440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2194813440 is an abundant number, since it is smaller than the sum of its proper divisors (5406522588).

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

2194813440 is an equidigital number, since it uses as much as digits as its factorization.

2194813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95290 (or 95271 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2194813440 is about 46848.8360581135. The cubic root of 2194813440 is about 1299.5685826842.

The spelling of 2194813440 in words is "two billion, one hundred ninety-four million, eight hundred thirteen thousand, four hundred forty".