2311003124640 has 768 divisors, whose sum is σ = 9370413158400. Its totient is φ = 521057193984.

The previous prime is 2311003124623. The next prime is 2311003124663. The reversal of 2311003124640 is 464213001132.

It is a happy number.

2311003124640 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 0 + 0 + 3 + 12 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 685145994 + ... + 685149366.

It is an arithmetic number, because the mean of its divisors is an integer number (12201058800).

Almost surely, 2^{2311003124640} is an apocalyptic number.

2311003124640 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 2311003124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685206579200).

2311003124640 is an abundant number, since it is smaller than the sum of its proper divisors (7059410033760).

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

2311003124640 is a wasteful number, since it uses less digits than its factorization.

2311003124640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2311003124640 its reverse (464213001132), we get a palindrome (2775216125772).

The spelling of 2311003124640 in words is "two trillion, three hundred eleven billion, three million, one hundred twenty-four thousand, six hundred forty".