1965575240 has 32 divisors (see below), whose sum is σ = 4425193080. Its totient is φ = 785759232.

The previous prime is 1965575237. The next prime is 1965575257. The reversal of 1965575240 is 425755691.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 925254724 + 1040320516 = 30418^2 + 32254^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1965575191 and 1965575200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57254 + ... + 84906.

Almost surely, 2^1965575240 is an apocalyptic number.

1965575240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1965575240 is an abundant number, since it is smaller than the sum of its proper divisors (2459617840).

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

1965575240 is a wasteful number, since it uses less digits than its factorization.

1965575240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29441 (or 29437 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 44.

The square root of 1965575240 is about 44334.8084466371. The cubic root of 1965575240 is about 1252.6504274156.

The spelling of 1965575240 in words is "one billion, nine hundred sixty-five million, five hundred seventy-five thousand, two hundred forty".