2311280640 has 288 divisors, whose sum is σ = 8279107200. Its totient is φ = 595722240.

The previous prime is 2311280639. The next prime is 2311280641. The reversal of 2311280640 is 460821132.

2311280640 is a `hidden beast` number, since 2 + 3 + 1 + 12 + 8 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2311280639) and next prime (2311280641).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2311280641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2856556 + ... + 2857364.

It is an arithmetic number, because the mean of its divisors is an integer number (28746900).

Almost surely, 2^2311280640 is an apocalyptic number.

2311280640 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 2311280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139553600).

2311280640 is an abundant number, since it is smaller than the sum of its proper divisors (5967826560).

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

2311280640 is a wasteful number, since it uses less digits than its factorization.

2311280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2311280640 is about 48075.7801808769. The cubic root of 2311280640 is about 1322.1606487293.

The spelling of 2311280640 in words is "two billion, three hundred eleven million, two hundred eighty thousand, six hundred forty".