2401411320 has 512 divisors, whose sum is σ = 10152345600. Its totient is φ = 490406400.

The previous prime is 2401411283. The next prime is 2401411321. The reversal of 2401411320 is 231141042.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2401411293 and 2401411302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401411321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5571505 + ... + 5571935.

It is an arithmetic number, because the mean of its divisors is an integer number (19828800).

Almost surely, 2^2401411320 is an apocalyptic number.

2401411320 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 2401411320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076172800).

2401411320 is an abundant number, since it is smaller than the sum of its proper divisors (7750934280).

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

2401411320 is a wasteful number, since it uses less digits than its factorization.

2401411320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2401411320 is about 49004.1969631174. The cubic root of 2401411320 is about 1339.1282887694.

Adding to 2401411320 its reverse (231141042), we get a palindrome (2632552362).

The spelling of 2401411320 in words is "two billion, four hundred one million, four hundred eleven thousand, three hundred twenty".