2126056410 has 120 divisors (see below), whose sum is σ = 5922552636. Its totient is φ = 547223040.

The previous prime is 2126056409. The next prime is 2126056411. The reversal of 2126056410 is 146506212.

2126056410 is a `hidden beast` number, since 2 + 12 + 6 + 0 + 5 + 641 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2126056409) and next prime (2126056411).

It can be written as a sum of positive squares in 6 ways, for example, as 262148481 + 1863907929 = 16191^2 + 43173^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2126056411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 679650 + ... + 682770.

Almost surely, 2^2126056410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126056410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961276318).

2126056410 is an abundant number, since it is smaller than the sum of its proper divisors (3796496226).

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

2126056410 is a wasteful number, since it uses less digits than its factorization.

2126056410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2126056410 is about 46109.1792379782. The cubic root of 2126056410 is about 1285.8538053356.

The spelling of 2126056410 in words is "two billion, one hundred twenty-six million, fifty-six thousand, four hundred ten".