2465619968 has 224 divisors, whose sum is σ = 6207191040. Its totient is φ = 955514880.

The previous prime is 2465619931. The next prime is 2465619983. The reversal of 2465619968 is 8699165642.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33775580 + ... + 33775652.

Almost surely, 2^2465619968 is an apocalyptic number.

2465619968 is a gapful number since it is divisible by the number (28) 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 2465619968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3103595520).

2465619968 is an abundant number, since it is smaller than the sum of its proper divisors (3741571072).

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

2465619968 is an equidigital number, since it uses as much as digits as its factorization.

2465619968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 132 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 56.

The square root of 2465619968 is about 49655.0094955182. The cubic root of 2465619968 is about 1350.9586182672.

The spelling of 2465619968 in words is "two billion, four hundred sixty-five million, six hundred nineteen thousand, nine hundred sixty-eight".