2011400220 has 96 divisors (see below), whose sum is σ = 5987193408. Its totient is φ = 502792192.

The previous prime is 2011400201. The next prime is 2011400257. The reversal of 2011400220 is 220041102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2011400196 and 2011400205.

It is a congruent number.

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, 258304 + ... + 265976.

It is an arithmetic number, because the mean of its divisors is an integer number (62366598).

Almost surely, 2^2011400220 is an apocalyptic number.

2011400220 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 2011400220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993596704).

2011400220 is an abundant number, since it is smaller than the sum of its proper divisors (3975793188).

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

2011400220 is a wasteful number, since it uses less digits than its factorization.

2011400220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7959 (or 7957 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2011400220 is about 44848.6367685797. The cubic root of 2011400220 is about 1262.3104119456.

Adding to 2011400220 its reverse (220041102), we get a palindrome (2231441322).

The spelling of 2011400220 in words is "two billion, eleven million, four hundred thousand, two hundred twenty".