2364648960 has 160 divisors (see below), whose sum is σ = 7721505792. Its totient is φ = 617062400.

The previous prime is 2364648919. The next prime is 2364648967. The reversal of 2364648960 is 698464632.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2364648967) 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 15 ways as a sum of consecutive naturals, for example, 357685 + ... + 364235.

Almost surely, 2^2364648960 is an apocalyptic number.

2364648960 is a gapful number since it is divisible by the number (20) 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 2364648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860752896).

2364648960 is an abundant number, since it is smaller than the sum of its proper divisors (5356856832).

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

2364648960 is an equidigital number, since it uses as much as digits as its factorization.

2364648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6624 (or 6608 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The square root of 2364648960 is about 48627.6563284722. The cubic root of 2364648960 is about 1332.2597046120.

The spelling of 2364648960 in words is "two billion, three hundred sixty-four million, six hundred forty-eight thousand, nine hundred sixty".