2211000211420 has 288 divisors, whose sum is σ = 6611929228800. Its totient is φ = 602650160640.

The previous prime is 2211000211393. The next prime is 2211000211447. The reversal of 2211000211420 is 241120001122.

2211000211420 is digitally balanced in base 2, 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 (2211000211393) and next prime (2211000211447).

It is a junction number, because it is equal to n+sod(n) for n = 2211000211394 and 2211000211403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3919971 + ... + 4448389.

It is an arithmetic number, because the mean of its divisors is an integer number (22958087600).

Almost surely, 2^{2211000211420} is an apocalyptic number.

2211000211420 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 2211000211420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305964614400).

2211000211420 is an abundant number, since it is smaller than the sum of its proper divisors (4400929017380).

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

2211000211420 is a wasteful number, since it uses less digits than its factorization.

2211000211420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528489 (or 528476 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2211000211420 its reverse (241120001122), we get a palindrome (2452120212542).

The spelling of 2211000211420 in words is "two trillion, two hundred eleven billion, two hundred eleven thousand, four hundred twenty".