2022401680 has 80 divisors (see below), whose sum is σ = 5108891760. Its totient is φ = 740081664.

The previous prime is 2022401677. The next prime is 2022401683. The reversal of 2022401680 is 861042202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2022401677) and next prime (2022401683).

It can be written as a sum of positive squares in 8 ways, for example, as 674337024 + 1348064656 = 25968^2 + 36716^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2022401683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108916 + ... + 126124.

It is an arithmetic number, because the mean of its divisors is an integer number (63861147).

Almost surely, 2^2022401680 is an apocalyptic number.

2022401680 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 2022401680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554445880).

2022401680 is an abundant number, since it is smaller than the sum of its proper divisors (3086490080).

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

2022401680 is a wasteful number, since it uses less digits than its factorization.

2022401680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17348 (or 17342 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2022401680 is about 44971.1205108345. The cubic root of 2022401680 is about 1264.6076532724.

Adding to 2022401680 its reverse (861042202), we get a palindrome (2883443882).

The spelling of 2022401680 in words is "two billion, twenty-two million, four hundred one thousand, six hundred eighty".