2126686740 has 144 divisors (see below), whose sum is σ = 6484266432. Its totient is φ = 518989824.

The previous prime is 2126686721. The next prime is 2126686741. The reversal of 2126686740 is 476866212.

It is a junction number, because it is equal to n+sod(n) for n = 2126686692 and 2126686701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126686741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1395619 + ... + 1397141.

It is an arithmetic number, because the mean of its divisors is an integer number (45029628).

Almost surely, 2^2126686740 is an apocalyptic number.

2126686740 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 2126686740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242133216).

2126686740 is an abundant number, since it is smaller than the sum of its proper divisors (4357579692).

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

2126686740 is a wasteful number, since it uses less digits than its factorization.

2126686740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1587 counting only the distinct ones).

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

The square root of 2126686740 is about 46116.0139214135. The cubic root of 2126686740 is about 1285.9808687786.

The spelling of 2126686740 in words is "two billion, one hundred twenty-six million, six hundred eighty-six thousand, seven hundred forty".