2138928800 has 144 divisors (see below), whose sum is σ = 5551207200. Its totient is φ = 802483200.

The previous prime is 2138928773. The next prime is 2138928809. The reversal of 2138928800 is 88298312.

It is a happy number.

It is a super-2 number, since 2×2138928800² = 9150032822938880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2138928809) 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, 1656155 + ... + 1657445.

It is an arithmetic number, because the mean of its divisors is an integer number (38550050).

Almost surely, 2^2138928800 is an apocalyptic number.

2138928800 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 2138928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775603600).

2138928800 is an abundant number, since it is smaller than the sum of its proper divisors (3412278400).

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

2138928800 is a wasteful number, since it uses less digits than its factorization.

2138928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 2138928800 is about 46248.5545720080. The cubic root of 2138928800 is about 1288.4436893278.

The spelling of 2138928800 in words is "two billion, one hundred thirty-eight million, nine hundred twenty-eight thousand, eight hundred".