2202873387264 has 405 divisors, whose sum is σ = 7227711929361. Its totient is φ = 666824970240.

The previous prime is 2202873387227. The next prime is 2202873387293. The reversal of 2202873387264 is 4627833782022.

The square root of 2202873387264 is 1484208.

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

2202873387264 is a `hidden beast` number, since 2 + 2 + 0 + 287 + 338 + 7 + 26 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115981113600 + 2086892273664 = 340560^2 + 1444608^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2202873387264.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2350985004 + ... + 2350985940.

Almost surely, 2^{2202873387264} is an apocalyptic number.

2202873387264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2202873387264 is the 1484208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202873387264

2202873387264 is an abundant number, since it is smaller than the sum of its proper divisors (5024838542097).

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

2202873387264 is an frugal number, since it uses more digits than its factorization.

2202873387264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 2202873387264 in words is "two trillion, two hundred two billion, eight hundred seventy-three million, three hundred eighty-seven thousand, two hundred sixty-four".