2138425920 has 560 divisors, whose sum is σ = 8444227968. Its totient is φ = 510935040.

The previous prime is 2138425909. The next prime is 2138425921. The reversal of 2138425920 is 295248312.

It is a happy number.

2138425920 is a `hidden beast` number, since 2 + 1 + 384 + 259 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2138425921) 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 79 ways as a sum of consecutive naturals, for example, 10134615 + ... + 10134825.

Almost surely, 2^2138425920 is an apocalyptic number.

2138425920 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 2138425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222113984).

2138425920 is an abundant number, since it is smaller than the sum of its proper divisors (6305802048).

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

2138425920 is a wasteful number, since it uses less digits than its factorization.

2138425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2138425920 is about 46243.1175419651. The cubic root of 2138425920 is about 1288.3427067944.

The spelling of 2138425920 in words is "two billion, one hundred thirty-eight million, four hundred twenty-five thousand, nine hundred twenty".