2126488320 has 432 divisors, whose sum is σ = 8155903392. Its totient is φ = 507248640.

The previous prime is 2126488297. The next prime is 2126488327. The reversal of 2126488320 is 238846212.

2126488320 is a `hidden beast` number, since 2 + 1 + 2 + 648 + 8 + 3 + 2 + 0 = 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 (2126488327) 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 47 ways as a sum of consecutive naturals, for example, 12291754 + ... + 12291926.

It is an arithmetic number, because the mean of its divisors is an integer number (18879406).

Almost surely, 2^2126488320 is an apocalyptic number.

2126488320 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 2126488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077951696).

2126488320 is an abundant number, since it is smaller than the sum of its proper divisors (6029415072).

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

2126488320 is a wasteful number, since it uses less digits than its factorization.

2126488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2126488320 is about 46113.8625578036. The cubic root of 2126488320 is about 1285.9408735041.

The spelling of 2126488320 in words is "two billion, one hundred twenty-six million, four hundred eighty-eight thousand, three hundred twenty".