2274124800 has 132 divisors (see below), whose sum is σ = 7516354736. Its totient is φ = 606412800.

The previous prime is 2274124777. The next prime is 2274124807. The reversal of 2274124800 is 84214722.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2274124807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61995 + ... + 91605.

Almost surely, 2^2274124800 is an apocalyptic number.

2274124800 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 2274124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758177368).

2274124800 is an abundant number, since it is smaller than the sum of its proper divisors (5242229936).

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

2274124800 is a wasteful number, since it uses less digits than its factorization.

2274124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29644 (or 29621 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 2274124800 is about 47687.7845994129. The cubic root of 2274124800 is about 1315.0373808088.

The spelling of 2274124800 in words is "two billion, two hundred seventy-four million, one hundred twenty-four thousand, eight hundred".