2134722240 has 336 divisors, whose sum is σ = 8566708800. Its totient is φ = 487710720.

The previous prime is 2134722223. The next prime is 2134722263. The reversal of 2134722240 is 422274312.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 986760 + ... + 988920.

Almost surely, 2^2134722240 is an apocalyptic number.

2134722240 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 2134722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4283354400).

2134722240 is an abundant number, since it is smaller than the sum of its proper divisors (6431986560).

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

2134722240 is a wasteful number, since it uses less digits than its factorization.

2134722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2134722240 is about 46203.0544444845. The cubic root of 2134722240 is about 1287.5984885855.

Adding to 2134722240 its reverse (422274312), we get a palindrome (2556996552).

The spelling of 2134722240 in words is "two billion, one hundred thirty-four million, seven hundred twenty-two thousand, two hundred forty".