2126621952000 has 3840 divisors, whose sum is σ = 10388746368000. Its totient is φ = 429185433600.

The previous prime is 2126621951969. The next prime is 2126621952017. The reversal of 2126621952000 is 2591266212.

2126621952000 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 621 + 9 + 5 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 92461823989 + ... + 92461824011.

It is an arithmetic number, because the mean of its divisors is an integer number (2705402700).

Almost surely, 2^{2126621952000} is an apocalyptic number.

2126621952000 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 2126621952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194373184000).

2126621952000 is an abundant number, since it is smaller than the sum of its proper divisors (8262124416000).

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

2126621952000 is an equidigital number, since it uses as much as digits as its factorization.

2126621952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 2126621952000 in words is "two trillion, one hundred twenty-six billion, six hundred twenty-one million, nine hundred fifty-two thousand".