2126738460 has 192 divisors, whose sum is σ = 7519518720. Its totient is φ = 436250880.

The previous prime is 2126738441. The next prime is 2126738501. The reversal of 2126738460 is 648376212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 362067 + ... + 367893.

It is an arithmetic number, because the mean of its divisors is an integer number (39164160).

Almost surely, 2^2126738460 is an apocalyptic number.

2126738460 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 2126738460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759759360).

2126738460 is an abundant number, since it is smaller than the sum of its proper divisors (5392780260).

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

2126738460 is a wasteful number, since it uses less digits than its factorization.

2126738460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2126738460 is about 46116.5746776579. The cubic root of 2126738460 is about 1285.9912935065.

The spelling of 2126738460 in words is "two billion, one hundred twenty-six million, seven hundred thirty-eight thousand, four hundred sixty".