2162380800 has 156 divisors (see below), whose sum is σ = 7150415360. Its totient is φ = 576552960.

The previous prime is 2162380799. The next prime is 2162380817. The reversal of 2162380800 is 80832612.

It is a super-3 number, since 3×2162380800³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 303681 + ... + 310719.

Almost surely, 2^2162380800 is an apocalyptic number.

2162380800 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 2162380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575207680).

2162380800 is an abundant number, since it is smaller than the sum of its proper divisors (4988034560).

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

2162380800 is an equidigital number, since it uses as much as digits as its factorization.

2162380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7076 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2162380800 is about 46501.4064303436. The cubic root of 2162380800 is about 1293.1355727903.

The spelling of 2162380800 in words is "two billion, one hundred sixty-two million, three hundred eighty thousand, eight hundred".