2224001340 has 192 divisors, whose sum is σ = 7597739520. Its totient is φ = 535610880.

The previous prime is 2224001321. The next prime is 2224001341. The reversal of 2224001340 is 431004222.

2224001340 is a `hidden beast` number, since 222 + 400 + 1 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224001341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 967072 + ... + 969368.

It is an arithmetic number, because the mean of its divisors is an integer number (39571560).

Almost surely, 2^2224001340 is an apocalyptic number.

2224001340 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 2224001340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798869760).

2224001340 is an abundant number, since it is smaller than the sum of its proper divisors (5373738180).

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

2224001340 is a wasteful number, since it uses less digits than its factorization.

2224001340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2224001340 is about 47159.3186973688. The cubic root of 2224001340 is about 1305.3040380250.

Adding to 2224001340 its reverse (431004222), we get a palindrome (2655005562).

The spelling of 2224001340 in words is "two billion, two hundred twenty-four million, one thousand, three hundred forty".