2310220013640 has 1024 divisors, whose sum is σ = 9337082388480. Its totient is φ = 442589184000.

The previous prime is 2310220013609. The next prime is 2310220013653. The reversal of 2310220013640 is 463100220132.

It is a super-2 number, since 2×2310220013640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2310220013640.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4417246419 + ... + 4417246941.

It is an arithmetic number, because the mean of its divisors is an integer number (9118244520).

Almost surely, 2^{2310220013640} is an apocalyptic number.

2310220013640 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 2310220013640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668541194240).

2310220013640 is an abundant number, since it is smaller than the sum of its proper divisors (7026862374840).

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

2310220013640 is a wasteful number, since it uses less digits than its factorization.

2310220013640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2310220013640 its reverse (463100220132), we get a palindrome (2773320233772).

The spelling of 2310220013640 in words is "two trillion, three hundred ten billion, two hundred twenty million, thirteen thousand, six hundred forty".