2935386240 has 128 divisors (see below), whose sum is σ = 9382547520. Its totient is φ = 780595200.

The previous prime is 2935386211. The next prime is 2935386257. The reversal of 2935386240 is 426835392.

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

It is a junction number, because it is equal to n+sod(n) for n = 2935386192 and 2935386201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760315 + ... + 764165.

Almost surely, 2^2935386240 is an apocalyptic number.

2935386240 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 2935386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691273760).

2935386240 is an abundant number, since it is smaller than the sum of its proper divisors (6447161280).

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

2935386240 is a wasteful number, since it uses less digits than its factorization.

2935386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 2935386240 is about 54179.2048668121. The cubic root of 2935386240 is about 1431.8199788264.

The spelling of 2935386240 in words is "two billion, nine hundred thirty-five million, three hundred eighty-six thousand, two hundred forty".