2126820024 has 256 divisors, whose sum is σ = 7187328000. Its totient is φ = 569203200.

The previous prime is 2126820011. The next prime is 2126820029. The reversal of 2126820024 is 4200286212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2126820024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126820029) 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 63 ways as a sum of consecutive naturals, for example, 2901162 + ... + 2901894.

It is an arithmetic number, because the mean of its divisors is an integer number (28075500).

Almost surely, 2^2126820024 is an apocalyptic number.

2126820024 is a gapful number since it is divisible by the number (24) 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 2126820024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593664000).

2126820024 is an abundant number, since it is smaller than the sum of its proper divisors (5060507976).

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

2126820024 is a wasteful number, since it uses less digits than its factorization.

2126820024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2126820024 is about 46117.4589933140. The cubic root of 2126820024 is about 1286.0077332733.

The spelling of 2126820024 in words is "two billion, one hundred twenty-six million, eight hundred twenty thousand, twenty-four".