2126574220800 has 240 divisors, whose sum is σ = 7034866882560. Its totient is φ = 566290391040.

The previous prime is 2126574220769. The next prime is 2126574220861. The reversal of 2126574220800 is 80224756212.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2126574220800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27571089 + ... + 27648111.

It is an arithmetic number, because the mean of its divisors is an integer number (29311945344).

Almost surely, 2^{2126574220800} is an apocalyptic number.

2126574220800 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 2126574220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517433441280).

2126574220800 is an abundant number, since it is smaller than the sum of its proper divisors (4908292661760).

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

2126574220800 is an equidigital number, since it uses as much as digits as its factorization.

2126574220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77773 (or 77752 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 2126574220800 in words is "two trillion, one hundred twenty-six billion, five hundred seventy-four million, two hundred twenty thousand, eight hundred".