2264729227200 has 1008 divisors, whose sum is σ = 8944388284416. Its totient is φ = 538920345600.

The previous prime is 2264729227181. The next prime is 2264729227231. The reversal of 2264729227200 is 27229274622.

2264729227200 is a `hidden beast` number, since 2 + 26 + 472 + 92 + 2 + 72 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2072029854 + ... + 2072030946.

Almost surely, 2^{2264729227200} is an apocalyptic number.

2264729227200 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 2264729227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472194142208).

2264729227200 is an abundant number, since it is smaller than the sum of its proper divisors (6679659057216).

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

2264729227200 is a wasteful number, since it uses less digits than its factorization.

2264729227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 2264729227200 in words is "two trillion, two hundred sixty-four billion, seven hundred twenty-nine million, two hundred twenty-seven thousand, two hundred".