2267076240 has 480 divisors, whose sum is σ = 9076669056. Its totient is φ = 499875840.

The previous prime is 2267076233. The next prime is 2267076241. The reversal of 2267076240 is 426707622.

2267076240 is a `hidden beast` number, since 2 + 26 + 7 + 0 + 7 + 624 + 0 = 666.

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 = 2267076195 and 2267076204.

It is not an unprimeable number, because it can be changed into a prime (2267076241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9987007 + ... + 9987233.

Almost surely, 2^2267076240 is an apocalyptic number.

2267076240 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 2267076240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538334528).

2267076240 is an abundant number, since it is smaller than the sum of its proper divisors (6809592816).

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

2267076240 is a wasteful number, since it uses less digits than its factorization.

2267076240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2267076240 is about 47613.8240430235. The cubic root of 2267076240 is about 1313.6773392332.

The spelling of 2267076240 in words is "two billion, two hundred sixty-seven million, seventy-six thousand, two hundred forty".