2220312400 has 60 divisors (see below), whose sum is σ = 5341587804. Its totient is φ = 886912000.

The previous prime is 2220312377. The next prime is 2220312427. The reversal of 2220312400 is 42130222.

It can be written as a sum of positive squares in 6 ways, for example, as 22202944 + 2198109456 = 4712^2 + 46884^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325020 + ... + 331780.

Almost surely, 2^2220312400 is an apocalyptic number.

2220312400 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 2220312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670793902).

2220312400 is an abundant number, since it is smaller than the sum of its proper divisors (3121275404).

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

2220312400 is a wasteful number, since it uses less digits than its factorization.

2220312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7600 (or 7589 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2220312400 is about 47120.1910013107. The cubic root of 2220312400 is about 1304.5819381838.

Adding to 2220312400 its reverse (42130222), we get a palindrome (2262442622).

The spelling of 2220312400 in words is "two billion, two hundred twenty million, three hundred twelve thousand, four hundred".