2220400020460 has 48 divisors (see below), whose sum is σ = 4787599948992. Its totient is φ = 864496281600.

The previous prime is 2220400020389. The next prime is 2220400020473. The reversal of 2220400020460 is 640200040222.

2220400020460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2220400020460² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2771736 + ... + 3481855.

It is an arithmetic number, because the mean of its divisors is an integer number (99741665604).

Almost surely, 2^{2220400020460} is an apocalyptic number.

2220400020460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220400020460 is an abundant number, since it is smaller than the sum of its proper divisors (2567199928532).

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

2220400020460 is a wasteful number, since it uses less digits than its factorization.

2220400020460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6254074 (or 6254072 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 2220400020460 its reverse (640200040222), we get a palindrome (2860600060682).

The spelling of 2220400020460 in words is "two trillion, two hundred twenty billion, four hundred million, twenty thousand, four hundred sixty".