2401034420 has 24 divisors (see below), whose sum is σ = 5124833448. Its totient is φ = 944668800.

The previous prime is 2401034407. The next prime is 2401034437. The reversal of 2401034420 is 244301042.

It can be written as a sum of positive squares in 4 ways, for example, as 115047076 + 2285987344 = 10726^2 + 47812^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2401034392 and 2401034401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 982811 + ... + 985250.

It is an arithmetic number, because the mean of its divisors is an integer number (213534727).

Almost surely, 2^2401034420 is an apocalyptic number.

2401034420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401034420 is an abundant number, since it is smaller than the sum of its proper divisors (2723799028).

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

2401034420 is a wasteful number, since it uses less digits than its factorization.

2401034420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968131 (or 1968129 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2401034420 is about 49000.3512232310. The cubic root of 2401034420 is about 1339.0582266556.

Adding to 2401034420 its reverse (244301042), we get a palindrome (2645335462).

The spelling of 2401034420 in words is "two billion, four hundred one million, thirty-four thousand, four hundred twenty".