2138400000 has 648 divisors, whose sum is σ = 8718379488. Its totient is φ = 518400000.

The previous prime is 2138399993. The next prime is 2138400053. The reversal of 2138400000 is 48312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 194399995 + ... + 194400005.

Almost surely, 2^2138400000 is an apocalyptic number.

2138400000 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 2138400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359189744).

2138400000 is an abundant number, since it is smaller than the sum of its proper divisors (6579979488).

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

2138400000 is an frugal number, since it uses more digits than its factorization.

2138400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2138400000 is about 46242.8372831945. The cubic root of 2138400000 is about 1288.3375014114.

Adding to 2138400000 its reverse (48312), we get a palindrome (2138448312).

The spelling of 2138400000 in words is "two billion, one hundred thirty-eight million, four hundred thousand".