2274076800 has 216 divisors, whose sum is σ = 8143406895. Its totient is φ = 604262400.

The previous prime is 2274076799. The next prime is 2274076813. The reversal of 2274076800 is 86704722.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1222761024 + 1051315776 = 34968^2 + 32424^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33720.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8092660 + ... + 8092940.

Almost surely, 2^2274076800 is an apocalyptic number.

2274076800 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 2274076800

2274076800 is an abundant number, since it is smaller than the sum of its proper divisors (5869330095).

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

2274076800 is an equidigital number, since it uses as much as digits as its factorization.

2274076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 291 counting only the distinct ones).

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

The square root of 2274076800 is about 47687.2813232208. The cubic root of 2274076800 is about 1315.0281285699.

The spelling of 2274076800 in words is "two billion, two hundred seventy-four million, seventy-six thousand, eight hundred".