2273217408 has 384 divisors, whose sum is σ = 8337888000. Its totient is φ = 589317120.

The previous prime is 2273217391. The next prime is 2273217413. The reversal of 2273217408 is 8047123722.

2273217408 is a `hidden beast` number, since 227 + 3 + 21 + 7 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4346235 + ... + 4346757.

It is an arithmetic number, because the mean of its divisors is an integer number (21713250).

Almost surely, 2^2273217408 is an apocalyptic number.

2273217408 is a gapful number since it is divisible by the number (28) 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 2273217408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4168944000).

2273217408 is an abundant number, since it is smaller than the sum of its proper divisors (6064670592).

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

2273217408 is a wasteful number, since it uses less digits than its factorization.

2273217408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2273217408 is about 47678.2697672640. The cubic root of 2273217408 is about 1314.8624544460.

The spelling of 2273217408 in words is "two billion, two hundred seventy-three million, two hundred seventeen thousand, four hundred eight".