1965630240 has 480 divisors, whose sum is σ = 8114287104. Its totient is φ = 438773760.

The previous prime is 1965630229. The next prime is 1965630257. The reversal of 1965630240 is 420365691.

It is a happy number.

1965630240 is a `hidden beast` number, since 1 + 96 + 563 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 1965630195 and 1965630204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4263610 + ... + 4264070.

Almost surely, 2^1965630240 is an apocalyptic number.

1965630240 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 1965630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057143552).

1965630240 is an abundant number, since it is smaller than the sum of its proper divisors (6148656864).

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

1965630240 is a wasteful number, since it uses less digits than its factorization.

1965630240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1965630240 is about 44335.4287224112. The cubic root of 1965630240 is about 1252.6621110404.

The spelling of 1965630240 in words is "one billion, nine hundred sixty-five million, six hundred thirty thousand, two hundred forty".