2935818240 has 192 divisors, whose sum is σ = 9456108480. Its totient is φ = 777584640.

The previous prime is 2935818217. The next prime is 2935818251. The reversal of 2935818240 is 428185392.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2935818192 and 2935818201.

It is an unprimeable number.

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, 6973230 + ... + 6973650.

It is an arithmetic number, because the mean of its divisors is an integer number (49250565).

Almost surely, 2^2935818240 is an apocalyptic number.

2935818240 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 2935818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4728054240).

2935818240 is an abundant number, since it is smaller than the sum of its proper divisors (6520290240).

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

2935818240 is a wasteful number, since it uses less digits than its factorization.

2935818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 2935818240 is about 54183.1914896123. The cubic root of 2935818240 is about 1431.8902155674.

The spelling of 2935818240 in words is "two billion, nine hundred thirty-five million, eight hundred eighteen thousand, two hundred forty".