2021120640 has 1024 divisors, whose sum is σ = 9400320000. Its totient is φ = 406425600.

The previous prime is 2021120639. The next prime is 2021120641. The reversal of 2021120640 is 460211202.

2021120640 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 1 + 20 + 640 = 666.

2021120640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2021120639) and next prime (2021120641).

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 (2021120641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65197425 + ... + 65197455.

It is an arithmetic number, because the mean of its divisors is an integer number (9180000).

Almost surely, 2^2021120640 is an apocalyptic number.

2021120640 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 2021120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700160000).

2021120640 is an abundant number, since it is smaller than the sum of its proper divisors (7379199360).

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

2021120640 is a wasteful number, since it uses less digits than its factorization.

2021120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2021120640 is about 44956.8753362597. The cubic root of 2021120640 is about 1264.3405854627.

Adding to 2021120640 its reverse (460211202), we get a palindrome (2481331842).

The spelling of 2021120640 in words is "two billion, twenty-one million, one hundred twenty thousand, six hundred forty".