2430103313220 has 576 divisors, whose sum is σ = 8049009346560. Its totient is φ = 541765324800.

The previous prime is 2430103313203. The next prime is 2430103313227. The reversal of 2430103313220 is 223133010342.

It is a super-2 number, since 2×2430103313220² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2430103313227) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7210988892 + ... + 7210989228.

It is an arithmetic number, because the mean of its divisors is an integer number (13973974560).

Almost surely, 2^{2430103313220} is an apocalyptic number.

2430103313220 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 2430103313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024504673280).

2430103313220 is an abundant number, since it is smaller than the sum of its proper divisors (5618906033340).

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

2430103313220 is a wasteful number, since it uses less digits than its factorization.

2430103313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2430103313220 its reverse (223133010342), we get a palindrome (2653236323562).

The spelling of 2430103313220 in words is "two trillion, four hundred thirty billion, one hundred three million, three hundred thirteen thousand, two hundred twenty".