2140221120 has 224 divisors, whose sum is σ = 7242048000. Its totient is φ = 533643264.

The previous prime is 2140221119. The next prime is 2140221131. The reversal of 2140221120 is 211220412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2140221120.

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, 3247351 + ... + 3248009.

Almost surely, 2^2140221120 is an apocalyptic number.

2140221120 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 2140221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621024000).

2140221120 is an abundant number, since it is smaller than the sum of its proper divisors (5101826880).

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

2140221120 is a wasteful number, since it uses less digits than its factorization.

2140221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2140221120 is about 46262.5239259598. The cubic root of 2140221120 is about 1288.7031254716.

Adding to 2140221120 its reverse (211220412), we get a palindrome (2351441532).

The spelling of 2140221120 in words is "two billion, one hundred forty million, two hundred twenty-one thousand, one hundred twenty".