2393328960 has 336 divisors, whose sum is σ = 9273917952. Its totient is φ = 561254400.

The previous prime is 2393328919. The next prime is 2393329013. The reversal of 2393328960 is 698233932.

2393328960 is a `hidden beast` number, since 239 + 3 + 328 + 96 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 980862 + ... + 983298.

Almost surely, 2^2393328960 is an apocalyptic number.

2393328960 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 2393328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636958976).

2393328960 is an abundant number, since it is smaller than the sum of its proper divisors (6880588992).

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

2393328960 is a wasteful number, since it uses less digits than its factorization.

2393328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 2393328960 is about 48921.6614599300. The cubic root of 2393328960 is about 1337.6242451326.

The spelling of 2393328960 in words is "two billion, three hundred ninety-three million, three hundred twenty-eight thousand, nine hundred sixty".