2220400512 has 160 divisors (see below), whose sum is σ = 7208962200. Its totient is φ = 672814080.

The previous prime is 2220400487. The next prime is 2220400529. The reversal of 2220400512 is 2150040222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 104314 + ... + 123782.

Almost surely, 2^2220400512 is an apocalyptic number.

2220400512 is a gapful number since it is divisible by the number (22) 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 2220400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604481100).

2220400512 is an abundant number, since it is smaller than the sum of its proper divisors (4988561688).

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

2220400512 is a wasteful number, since it uses less digits than its factorization.

2220400512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19506 (or 19485 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2220400512 is about 47121.1259627781. The cubic root of 2220400512 is about 1304.5991951853.

Adding to 2220400512 its reverse (2150040222), we get a palindrome (4370440734).

The spelling of 2220400512 in words is "two billion, two hundred twenty million, four hundred thousand, five hundred twelve".