2126385000 has 320 divisors, whose sum is σ = 7778760000. Its totient is φ = 536544000.

The previous prime is 2126384989. The next prime is 2126385049. The reversal of 2126385000 is 5836212.

2126385000 is a `hidden beast` number, since 2 + 126 + 38 + 500 + 0 = 666.

It is a super-3 number, since 3×2126385000³ (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 2564586 + ... + 2565414.

It is an arithmetic number, because the mean of its divisors is an integer number (24308625).

Almost surely, 2^2126385000 is an apocalyptic number.

2126385000 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 2126385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889380000).

2126385000 is an abundant number, since it is smaller than the sum of its proper divisors (5652375000).

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

2126385000 is a wasteful number, since it uses less digits than its factorization.

2126385000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 858 counting only the distinct ones).

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

The square root of 2126385000 is about 46112.7422736926. The cubic root of 2126385000 is about 1285.9200464342.

The spelling of 2126385000 in words is "two billion, one hundred twenty-six million, three hundred eighty-five thousand".