335105250240 has 224 divisors, whose sum is σ = 1079564048640. Its totient is φ = 88053129216.

The previous prime is 335105250239. The next prime is 335105250251. The reversal of 335105250240 is 42052501533.

It is a super-2 number, since 2×335105250240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 335105250198 and 335105250207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114018691 + ... + 114021629.

It is an arithmetic number, because the mean of its divisors is an integer number (4819482360).

Almost surely, 2^335105250240 is an apocalyptic number.

335105250240 is a gapful number since it is divisible by the number (30) 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 335105250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539782024320).

335105250240 is an abundant number, since it is smaller than the sum of its proper divisors (744458798400).

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

335105250240 is a wasteful number, since it uses less digits than its factorization.

335105250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4659 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 335105250240 its reverse (42052501533), we get a palindrome (377157751773).

The spelling of 335105250240 in words is "three hundred thirty-five billion, one hundred five million, two hundred fifty thousand, two hundred forty".