2126508800 has 216 divisors, whose sum is σ = 5774994960. Its totient is φ = 770457600.

The previous prime is 2126508763. The next prime is 2126508809. The reversal of 2126508800 is 88056212.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2126508809) 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 23 ways as a sum of consecutive naturals, for example, 5074991 + ... + 5075409.

Almost surely, 2^2126508800 is an apocalyptic number.

2126508800 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 2126508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887497480).

2126508800 is an abundant number, since it is smaller than the sum of its proper divisors (3648486160).

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

2126508800 is a wasteful number, since it uses less digits than its factorization.

2126508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 2126508800 is about 46114.0846163078. The cubic root of 2126508800 is about 1285.9450017476.

The spelling of 2126508800 in words is "two billion, one hundred twenty-six million, five hundred eight thousand, eight hundred".