2274407424 has 220 divisors, whose sum is σ = 7195802724. Its totient is φ = 713097216.

The previous prime is 2274407423. The next prime is 2274407437. The reversal of 2274407424 is 4247044722.

2274407424 is a `hidden beast` number, since 227 + 4 + 4 + 0 + 7 + 424 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1602561024 + 671846400 = 40032^2 + 25920^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2274407423) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1409242 + ... + 1410854.

Almost surely, 2^2274407424 is an apocalyptic number.

2274407424 is a gapful number since it is divisible by the number (24) 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 2274407424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597901362).

2274407424 is an abundant number, since it is smaller than the sum of its proper divisors (4921395300).

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

2274407424 is a wasteful number, since it uses less digits than its factorization.

2274407424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 36.

The square root of 2274407424 is about 47690.7477819336. The cubic root of 2274407424 is about 1315.0918553521.

The spelling of 2274407424 in words is "two billion, two hundred seventy-four million, four hundred seven thousand, four hundred twenty-four".