2220431400 has 384 divisors, whose sum is σ = 8637840000. Its totient is φ = 519321600.

The previous prime is 2220431287. The next prime is 2220431401. The reversal of 2220431400 is 41340222.

2220431400 is a `hidden beast` number, since 2 + 220 + 43 + 1 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2220431401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1721956 + ... + 1723244.

It is an arithmetic number, because the mean of its divisors is an integer number (22494375).

Almost surely, 2^2220431400 is an apocalyptic number.

2220431400 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 2220431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318920000).

2220431400 is an abundant number, since it is smaller than the sum of its proper divisors (6417408600).

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

2220431400 is a wasteful number, since it uses less digits than its factorization.

2220431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2220431400 is about 47121.4537127199. The cubic root of 2220431400 is about 1304.6052445853.

Adding to 2220431400 its reverse (41340222), we get a palindrome (2261771622).

The spelling of 2220431400 in words is "two billion, two hundred twenty million, four hundred thirty-one thousand, four hundred".