2220684400 has 120 divisors (see below), whose sum is σ = 5838697728. Its totient is φ = 804960000.

The previous prime is 2220684397. The next prime is 2220684407. The reversal of 2220684400 is 44860222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220684407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1895815 + ... + 1896985.

Almost surely, 2^2220684400 is an apocalyptic number.

2220684400 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 2220684400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919348864).

2220684400 is an abundant number, since it is smaller than the sum of its proper divisors (3618013328).

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

2220684400 is a wasteful number, since it uses less digits than its factorization.

2220684400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 2220684400 is about 47124.1381884062. The cubic root of 2220684400 is about 1304.6547924032.

The spelling of 2220684400 in words is "two billion, two hundred twenty million, six hundred eighty-four thousand, four hundred".