2401310241220 has 96 divisors (see below), whose sum is σ = 5713455605760. Its totient is φ = 840139539840.

The previous prime is 2401310241163. The next prime is 2401310241257. The reversal of 2401310241220 is 221420131042.

2401310241220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2401310241191 and 2401310241200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1358034 + ... + 2578153.

It is an arithmetic number, because the mean of its divisors is an integer number (59515162560).

Almost surely, 2^{2401310241220} is an apocalyptic number.

2401310241220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401310241220 is an abundant number, since it is smaller than the sum of its proper divisors (3312145364540).

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

2401310241220 is a wasteful number, since it uses less digits than its factorization.

2401310241220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936313 (or 3936311 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 2401310241220 its reverse (221420131042), we get a palindrome (2622730372262).

The spelling of 2401310241220 in words is "two trillion, four hundred one billion, three hundred ten million, two hundred forty-one thousand, two hundred twenty".