2240271264 has 192 divisors, whose sum is σ = 7530872832. Its totient is φ = 566092800.

The previous prime is 2240271263. The next prime is 2240271281. The reversal of 2240271264 is 4621720422.

It is a super-3 number, since 3×2240271264³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2240271263) 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, 269409 + ... + 277599.

It is an arithmetic number, because the mean of its divisors is an integer number (39223296).

Almost surely, 2^2240271264 is an apocalyptic number.

2240271264 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 2240271264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765436416).

2240271264 is an abundant number, since it is smaller than the sum of its proper divisors (5290601568).

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

2240271264 is a wasteful number, since it uses less digits than its factorization.

2240271264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8259 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 2240271264 is about 47331.5039270886. The cubic root of 2240271264 is about 1308.4793387609.

Adding to 2240271264 its reverse (4621720422), we get a palindrome (6861991686).

The spelling of 2240271264 in words is "two billion, two hundred forty million, two hundred seventy-one thousand, two hundred sixty-four".