2126041624 has 64 divisors (see below), whose sum is σ = 4859300160. Its totient is φ = 851251200.

The previous prime is 2126041609. The next prime is 2126041633. The reversal of 2126041624 is 4261406212.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2126041592 and 2126041601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122274 + ... + 138574.

It is an arithmetic number, because the mean of its divisors is an integer number (75926565).

Almost surely, 2^2126041624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126041624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429650080).

2126041624 is an abundant number, since it is smaller than the sum of its proper divisors (2733258536).

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

2126041624 is a wasteful number, since it uses less digits than its factorization.

2126041624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16468 (or 16464 counting only the distinct ones).

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

The square root of 2126041624 is about 46109.0189008615. The cubic root of 2126041624 is about 1285.8508244366.

Adding to 2126041624 its reverse (4261406212), we get a palindrome (6387447836).

The spelling of 2126041624 in words is "two billion, one hundred twenty-six million, forty-one thousand, six hundred twenty-four".