2273475600 has 300 divisors, whose sum is σ = 8902473360. Its totient is φ = 551059200.

The previous prime is 2273475583. The next prime is 2273475601. The reversal of 2273475600 is 65743722.

It is a happy number.

2273475600 is a `hidden beast` number, since 2 + 2 + 7 + 3 + 47 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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 (2273475601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 353211 + ... + 359589.

Almost surely, 2^2273475600 is an apocalyptic number.

2273475600 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 2273475600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451236680).

2273475600 is an abundant number, since it is smaller than the sum of its proper divisors (6628997760).

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

2273475600 is a wasteful number, since it uses less digits than its factorization.

2273475600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6420 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2273475600 is about 47680.9773389766. The cubic root of 2273475600 is about 1314.9122332475.

The spelling of 2273475600 in words is "two billion, two hundred seventy-three million, four hundred seventy-five thousand, six hundred".