2182118400 has 1056 divisors, whose sum is σ = 10234344960. Its totient is φ = 442368000.

The previous prime is 2182118387. The next prime is 2182118417. The reversal of 2182118400 is 48112812.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53222380 + ... + 53222420.

Almost surely, 2^2182118400 is an apocalyptic number.

2182118400 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 2182118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117172480).

2182118400 is an abundant number, since it is smaller than the sum of its proper divisors (8052226560).

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

2182118400 is a wasteful number, since it uses less digits than its factorization.

2182118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 2182118400 is about 46713.1501827911. The cubic root of 2182118400 is about 1297.0581207717.

The spelling of 2182118400 in words is "two billion, one hundred eighty-two million, one hundred eighteen thousand, four hundred".