2134222440 has 384 divisors, whose sum is σ = 7974236160. Its totient is φ = 454519296.

The previous prime is 2134222429. The next prime is 2134222457. The reversal of 2134222440 is 442224312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2134222440.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5815137 + ... + 5815503.

It is an arithmetic number, because the mean of its divisors is an integer number (20766240).

Almost surely, 2^2134222440 is an apocalyptic number.

2134222440 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 2134222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987118080).

2134222440 is an abundant number, since it is smaller than the sum of its proper divisors (5840013720).

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

2134222440 is a wasteful number, since it uses less digits than its factorization.

2134222440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2134222440 is about 46197.6453945436. The cubic root of 2134222440 is about 1287.4979927703.

Adding to 2134222440 its reverse (442224312), we get a palindrome (2576446752).

The spelling of 2134222440 in words is "two billion, one hundred thirty-four million, two hundred twenty-two thousand, four hundred forty".