2274240672 has 192 divisors, whose sum is σ = 7271147520. Its totient is φ = 685843200.

The previous prime is 2274240649. The next prime is 2274240673. The reversal of 2274240672 is 2760424722.

2274240672 is a `hidden beast` number, since 227 + 424 + 0 + 6 + 7 + 2 = 666.

It is a super-3 number, since 3×2274240672³ (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (2274240673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2575143 + ... + 2576025.

It is an arithmetic number, because the mean of its divisors is an integer number (37870560).

Almost surely, 2^2274240672 is an apocalyptic number.

2274240672 is a gapful number since it is divisible by the number (22) 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 2274240672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635573760).

2274240672 is an abundant number, since it is smaller than the sum of its proper divisors (4996906848).

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

2274240672 is a wasteful number, since it uses less digits than its factorization.

2274240672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 2274240672 is about 47688.9994862547. Note that the first 3 decimals coincide. The cubic root of 2274240672 is about 1315.0597151773.

The spelling of 2274240672 in words is "two billion, two hundred seventy-four million, two hundred forty thousand, six hundred seventy-two".