2401412520 has 512 divisors, whose sum is σ = 8918138880. Its totient is φ = 510935040.

The previous prime is 2401412509. The next prime is 2401412539. The reversal of 2401412520 is 252141042.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18908697 + ... + 18908823.

It is an arithmetic number, because the mean of its divisors is an integer number (17418240).

Almost surely, 2^2401412520 is an apocalyptic number.

2401412520 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 2401412520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459069440).

2401412520 is an abundant number, since it is smaller than the sum of its proper divisors (6516726360).

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

2401412520 is a wasteful number, since it uses less digits than its factorization.

2401412520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2401412520 is about 49004.2092069651. The cubic root of 2401412520 is about 1339.1285118262.

Adding to 2401412520 its reverse (252141042), we get a palindrome (2653553562).

The spelling of 2401412520 in words is "two billion, four hundred one million, four hundred twelve thousand, five hundred twenty".