1935930240 has 256 divisors, whose sum is σ = 7155993600. Its totient is φ = 493701120.

The previous prime is 1935930239. The next prime is 1935930259. The reversal of 1935930240 is 420395391.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1935930195 and 1935930204.

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, 395005 + ... + 399875.

It is an arithmetic number, because the mean of its divisors is an integer number (27953100).

Almost surely, 2^1935930240 is an apocalyptic number.

1935930240 is a gapful number since it is divisible by the number (10) 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 1935930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577996800).

1935930240 is an abundant number, since it is smaller than the sum of its proper divisors (5220063360).

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

1935930240 is a wasteful number, since it uses less digits than its factorization.

1935930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4922 (or 4904 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1935930240 is about 43999.2072655860. The cubic root of 1935930240 is about 1246.3209669292.

The spelling of 1935930240 in words is "one billion, nine hundred thirty-five million, nine hundred thirty thousand, two hundred forty".