2194927338240 has 1152 divisors, whose sum is σ = 9657281894400. Its totient is φ = 459682283520.

The previous prime is 2194927338211. The next prime is 2194927338259. The reversal of 2194927338240 is 428337294912.

It is a happy number.

2194927338240 is a `hidden beast` number, since 2 + 1 + 9 + 49 + 27 + 338 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 437146930 + ... + 437151950.

It is an arithmetic number, because the mean of its divisors is an integer number (8383057200).

Almost surely, 2^{2194927338240} is an apocalyptic number.

2194927338240 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 2194927338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828640947200).

2194927338240 is an abundant number, since it is smaller than the sum of its proper divisors (7462354556160).

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

2194927338240 is a wasteful number, since it uses less digits than its factorization.

2194927338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210 (or 5190 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 2194927338240 in words is "two trillion, one hundred ninety-four billion, nine hundred twenty-seven million, three hundred thirty-eight thousand, two hundred forty".