2126621440 has 72 divisors (see below), whose sum is σ = 5103933408. Its totient is φ = 848977920.

The previous prime is 2126621383. The next prime is 2126621479. The reversal of 2126621440 is 441266212.

It is a junction number, because it is equal to n+sod(n) for n = 2126621399 and 2126621408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 806364 + ... + 808996.

It is an arithmetic number, because the mean of its divisors is an integer number (70887964).

Almost surely, 2^2126621440 is an apocalyptic number.

2126621440 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 2126621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551966704).

2126621440 is an abundant number, since it is smaller than the sum of its proper divisors (2977311968).

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

2126621440 is an equidigital number, since it uses as much as digits as its factorization.

2126621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2126621440 is about 46115.3059189679. The cubic root of 2126621440 is about 1285.9677066129.

Adding to 2126621440 its reverse (441266212), we get a palindrome (2567887652).

The spelling of 2126621440 in words is "two billion, one hundred twenty-six million, six hundred twenty-one thousand, four hundred forty".