2138040360 has 448 divisors, whose sum is σ = 8074209600. Its totient is φ = 506124288.

The previous prime is 2138040313. The next prime is 2138040361. The reversal of 2138040360 is 630408312.

It is a happy number.

It is a super-3 number, since 3×2138040360³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138040361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9418567 + ... + 9418793.

Almost surely, 2^2138040360 is an apocalyptic number.

2138040360 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 2138040360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4037104800).

2138040360 is an abundant number, since it is smaller than the sum of its proper divisors (5936169240).

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

2138040360 is a wasteful number, since it uses less digits than its factorization.

2138040360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2138040360 is about 46238.9485174566. The cubic root of 2138040360 is about 1288.2652723809.

Adding to 2138040360 its reverse (630408312), we get a palindrome (2768448672).

The spelling of 2138040360 in words is "two billion, one hundred thirty-eight million, forty thousand, three hundred sixty".