2138376408 has 128 divisors (see below), whose sum is σ = 6210846720. Its totient is φ = 600935040.

The previous prime is 2138376403. The next prime is 2138376421. The reversal of 2138376408 is 8046738312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2138376408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138376403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3304741 + ... + 3305387.

It is an arithmetic number, because the mean of its divisors is an integer number (48522240).

Almost surely, 2^2138376408 is an apocalyptic number.

2138376408 is a gapful number since it is divisible by the number (28) 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 2138376408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105423360).

2138376408 is an abundant number, since it is smaller than the sum of its proper divisors (4072470312).

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

2138376408 is a wasteful number, since it uses less digits than its factorization.

2138376408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2138376408 is about 46242.5821943369. The cubic root of 2138376408 is about 1288.3327635123.

The spelling of 2138376408 in words is "two billion, one hundred thirty-eight million, three hundred seventy-six thousand, four hundred eight".