2126986400 has 432 divisors, whose sum is σ = 6765941952. Its totient is φ = 638668800.

The previous prime is 2126986391. The next prime is 2126986409. The reversal of 2126986400 is 46896212.

It is an interprime number because it is at equal distance from previous prime (2126986391) and next prime (2126986409).

It is a super-2 number, since 2×2126986400² = 9048142291569920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2126986409) 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 71 ways as a sum of consecutive naturals, for example, 29136764 + ... + 29136836.

Almost surely, 2^2126986400 is an apocalyptic number.

2126986400 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 2126986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382970976).

2126986400 is an abundant number, since it is smaller than the sum of its proper divisors (4638955552).

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

2126986400 is a wasteful number, since it uses less digits than its factorization.

2126986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 2126986400 is about 46119.2627868226. The cubic root of 2126986400 is about 1286.0412661598.

The spelling of 2126986400 in words is "two billion, one hundred twenty-six million, nine hundred eighty-six thousand, four hundred".