2271290126400 has 567 divisors, whose sum is σ = 8532851434263. Its totient is φ = 572931532800.

The previous prime is 2271290126341. The next prime is 2271290126431. The reversal of 2271290126400 is 46210921722.

The square root of 2271290126400 is 1507080.

It is a perfect power (a square), and thus also a powerful number.

2271290126400 is a `hidden beast` number, since 2 + 2 + 7 + 1 + 2 + 9 + 0 + 1 + 2 + 640 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66849136704 + 2204440989696 = 258552^2 + 1484736^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3436142070 + ... + 3436142730.

Almost surely, 2^{2271290126400} is an apocalyptic number.

2271290126400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2271290126400 is the 1507080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2271290126400

2271290126400 is an abundant number, since it is smaller than the sum of its proper divisors (6261561307863).

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

2271290126400 is an equidigital number, since it uses as much as digits as its factorization.

2271290126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 2271290126400 by its sum of digits (36), we get a square (81766444550400 = 9042480²).

2271290126400 divided by its sum of digits (36) gives a square (63091392400 = 251180²).

The spelling of 2271290126400 in words is "two trillion, two hundred seventy-one billion, two hundred ninety million, one hundred twenty-six thousand, four hundred".