1965225024 has 448 divisors, whose sum is σ = 7373721600. Its totient is φ = 499654656.

The previous prime is 1965225019. The next prime is 1965225029. The reversal of 1965225024 is 4205225691.

It is an interprime number because it is at equal distance from previous prime (1965225019) and next prime (1965225029).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1965225024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1965225029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3906757 + ... + 3907259.

It is an arithmetic number, because the mean of its divisors is an integer number (16459200).

Almost surely, 2^1965225024 is an apocalyptic number.

1965225024 is a gapful number since it is divisible by the number (14) 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 1965225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686860800).

1965225024 is an abundant number, since it is smaller than the sum of its proper divisors (5408496576).

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

1965225024 is a wasteful number, since it uses less digits than its factorization.

1965225024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1965225024 is about 44330.8585975954. The cubic root of 1965225024 is about 1252.5760260783.

The spelling of 1965225024 in words is "one billion, nine hundred sixty-five million, two hundred twenty-five thousand, twenty-four".