1965060240 has 320 divisors, whose sum is σ = 7391526912. Its totient is φ = 425318400.

The previous prime is 1965060211. The next prime is 1965060247. The reversal of 1965060240 is 420605691.

It is a Cunningham number, because it is equal to 44329²-1.

It is a super-2 number, since 2×1965060240² = 7722923493657715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1965060247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1062997 + ... + 1064843.

Almost surely, 2^1965060240 is an apocalyptic number.

1965060240 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 1965060240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695763456).

1965060240 is an abundant number, since it is smaller than the sum of its proper divisors (5426466672).

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

1965060240 is a wasteful number, since it uses less digits than its factorization.

1965060240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1965060240 is about 44328.9999887207. Note that the first 4 decimals coincide. The cubic root of 1965060240 is about 1252.5410156249.

The spelling of 1965060240 in words is "one billion, nine hundred sixty-five million, sixty thousand, two hundred forty".