2223901440 has 288 divisors, whose sum is σ = 7954430400. Its totient is φ = 588349440.

The previous prime is 2223901439. The next prime is 2223901481. The reversal of 2223901440 is 441093222.

2223901440 is a `hidden beast` number, since 222 + 390 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2223901440² = 9891475229668147200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7914100 + ... + 7914380.

It is an arithmetic number, because the mean of its divisors is an integer number (27619550).

Almost surely, 2^2223901440 is an apocalyptic number.

2223901440 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 2223901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977215200).

2223901440 is an abundant number, since it is smaller than the sum of its proper divisors (5730528960).

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

2223901440 is a wasteful number, since it uses less digits than its factorization.

2223901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2223901440 is about 47158.2595098674. The cubic root of 2223901440 is about 1305.2844933986.

Adding to 2223901440 its reverse (441093222), we get a palindrome (2664994662).

The spelling of 2223901440 in words is "two billion, two hundred twenty-three million, nine hundred one thousand, four hundred forty".