2188728400 has 60 divisors (see below), whose sum is σ = 5270981212. Its totient is φ = 873400320.

The previous prime is 2188728361. The next prime is 2188728419. The reversal of 2188728400 is 48278812.

It can be written as a sum of positive squares in 6 ways, for example, as 695060496 + 1493667904 = 26364^2 + 38648^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166882 + ... + 179518.

Almost surely, 2^2188728400 is an apocalyptic number.

2188728400 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 2188728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635490606).

2188728400 is an abundant number, since it is smaller than the sum of its proper divisors (3082252812).

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

2188728400 is a wasteful number, since it uses less digits than its factorization.

2188728400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13088 (or 13077 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 2188728400 is about 46783.8476399708. The cubic root of 2188728400 is about 1298.3664689362.

The spelling of 2188728400 in words is "two billion, one hundred eighty-eight million, seven hundred twenty-eight thousand, four hundred".