2271074400 has 216 divisors, whose sum is σ = 9152632944. Its totient is φ = 519091200.

The previous prime is 2271074381. The next prime is 2271074413. The reversal of 2271074400 is 44701722.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27870 + ... + 72930.

Almost surely, 2^2271074400 is an apocalyptic number.

2271074400 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 2271074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576316472).

2271074400 is an abundant number, since it is smaller than the sum of its proper divisors (6881558544).

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

2271074400 is a wasteful number, since it uses less digits than its factorization.

2271074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45094 (or 45078 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 2271074400 is about 47655.7908338535. The cubic root of 2271074400 is about 1314.4491420682.

The spelling of 2271074400 in words is "two billion, two hundred seventy-one million, seventy-four thousand, four hundred".