2291227142400 has 2187 divisors, whose sum is σ = 10317168546321. Its totient is φ = 483602595840.

The previous prime is 2291227142387. The next prime is 2291227142401. The reversal of 2291227142400 is 42417221922.

The square root of 2291227142400 is 1513680.

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

2291227142400 is a `hidden beast` number, since 2 + 2 + 9 + 1 + 227 + 1 + 424 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 352493938944 + 1938733203456 = 593712^2 + 1392384^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2291227142401) 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 242 ways as a sum of consecutive naturals, for example, 43230700774 + ... + 43230700826.

Almost surely, 2^{2291227142400} is an apocalyptic number.

2291227142400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2291227142400 is the 1513680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2291227142400

2291227142400 is an abundant number, since it is smaller than the sum of its proper divisors (8025941403921).

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

2291227142400 is a wasteful number, since it uses less digits than its factorization.

2291227142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 2291227142400 by its sum of digits (36), we get a square (82484177126400 = 9082080²).

2291227142400 divided by its sum of digits (36) gives a square (63645198400 = 252280²).

The spelling of 2291227142400 in words is "two trillion, two hundred ninety-one billion, two hundred twenty-seven million, one hundred forty-two thousand, four hundred".