2401810816320 has 224 divisors, whose sum is σ = 8529925536000. Its totient is φ = 636184000512.

The previous prime is 2401810816219. The next prime is 2401810816333. The reversal of 2401810816320 is 236180181042.

2401810816320 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 8 + 10 + 8 + 1 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354517 + ... + 2220203.

Almost surely, 2^{2401810816320} is an apocalyptic number.

2401810816320 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 2401810816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264962768000).

2401810816320 is an abundant number, since it is smaller than the sum of its proper divisors (6128114719680).

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

2401810816320 is a wasteful number, since it uses less digits than its factorization.

2401810816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865862 (or 1865846 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 2401810816320 its reverse (236180181042), we get a palindrome (2637990997362).

The spelling of 2401810816320 in words is "two trillion, four hundred one billion, eight hundred ten million, eight hundred sixteen thousand, three hundred twenty".