2120221440 has 288 divisors, whose sum is σ = 7770470400. Its totient is φ = 546877440.

The previous prime is 2120221387. The next prime is 2120221447. The reversal of 2120221440 is 441220212.

2120221440 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 221 + 440 = 666.

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

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (2120221447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1070371 + ... + 1072349.

It is an arithmetic number, because the mean of its divisors is an integer number (26980800).

Almost surely, 2^2120221440 is an apocalyptic number.

2120221440 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 2120221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885235200).

2120221440 is an abundant number, since it is smaller than the sum of its proper divisors (5650248960).

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

2120221440 is a wasteful number, since it uses less digits than its factorization.

2120221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2120221440 is about 46045.8623548305. The cubic root of 2120221440 is about 1284.6763839594.

Adding to 2120221440 its reverse (441220212), we get a palindrome (2561441652).

The spelling of 2120221440 in words is "two billion, one hundred twenty million, two hundred twenty-one thousand, four hundred forty".