2126260824 has 64 divisors (see below), whose sum is σ = 5468774400. Its totient is φ = 688560384.

The previous prime is 2126260823. The next prime is 2126260841. The reversal of 2126260824 is 4280626212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126260823) 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 15 ways as a sum of consecutive naturals, for example, 147657 + ... + 161415.

It is an arithmetic number, because the mean of its divisors is an integer number (85449600).

Almost surely, 2^2126260824 is an apocalyptic number.

2126260824 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 2126260824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734387200).

2126260824 is an abundant number, since it is smaller than the sum of its proper divisors (3342513576).

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

2126260824 is a wasteful number, since it uses less digits than its factorization.

2126260824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13952 (or 13948 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2126260824 is about 46111.3958149176. The cubic root of 2126260824 is about 1285.8950143545.

The spelling of 2126260824 in words is "two billion, one hundred twenty-six million, two hundred sixty thousand, eight hundred twenty-four".