2267274240 has 880 divisors, whose sum is σ = 10272075264. Its totient is φ = 464486400.

The previous prime is 2267274221. The next prime is 2267274263. The reversal of 2267274240 is 424727622.

2267274240 is a `hidden beast` number, since 226 + 7 + 2 + 7 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

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

It is a junction number, because it is equal to n+sod(n) for n = 2267274195 and 2267274204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31933405 + ... + 31933475.

Almost surely, 2^2267274240 is an apocalyptic number.

2267274240 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 2267274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136037632).

2267274240 is an abundant number, since it is smaller than the sum of its proper divisors (8004801024).

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

2267274240 is a wasteful number, since it uses less digits than its factorization.

2267274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

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

The square root of 2267274240 is about 47615.9032257081. The cubic root of 2267274240 is about 1313.7155824025.

The spelling of 2267274240 in words is "two billion, two hundred sixty-seven million, two hundred seventy-four thousand, two hundred forty".