2401051520 has 128 divisors (see below), whose sum is σ = 6786590400. Its totient is φ = 794787840.

The previous prime is 2401051469. The next prime is 2401051529. The reversal of 2401051520 is 251501042.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 2401051492 and 2401051501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401051529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120680 + ... + 139160.

Almost surely, 2^2401051520 is an apocalyptic number.

2401051520 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 2401051520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393295200).

2401051520 is an abundant number, since it is smaller than the sum of its proper divisors (4385538880).

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

2401051520 is a wasteful number, since it uses less digits than its factorization.

2401051520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18536 (or 18524 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2401051520 is about 49000.5257114656. The cubic root of 2401051520 is about 1339.0614055412.

Adding to 2401051520 its reverse (251501042), we get a palindrome (2652552562).

The spelling of 2401051520 in words is "two billion, four hundred one million, fifty-one thousand, five hundred twenty".