2270766240 has 72 divisors (see below), whose sum is σ = 7748994708. Its totient is φ = 605537280.

The previous prime is 2270766229. The next prime is 2270766293. The reversal of 2270766240 is 426670722.

2270766240 is a `hidden beast` number, since 2 + 27 + 0 + 7 + 6 + 624 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2189116944 + 81649296 = 46788^2 + 9036^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 2270766195 and 2270766204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 787021 + ... + 789900.

Almost surely, 2^2270766240 is an apocalyptic number.

2270766240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2270766240 is an abundant number, since it is smaller than the sum of its proper divisors (5478228468).

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

2270766240 is a wasteful number, since it uses less digits than its factorization.

2270766240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576942 (or 1576931 counting only the distinct ones).

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

The square root of 2270766240 is about 47652.5575389191. The cubic root of 2270766240 is about 1314.3896872466.

The spelling of 2270766240 in words is "two billion, two hundred seventy million, seven hundred sixty-six thousand, two hundred forty".