2393653248 has 240 divisors, whose sum is σ = 8115730560. Its totient is φ = 683016192.

The previous prime is 2393653181. The next prime is 2393653279. The reversal of 2393653248 is 8423563932.

2393653248 is a `hidden beast` number, since 23 + 93 + 6 + 532 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3096190 + ... + 3096962.

It is an arithmetic number, because the mean of its divisors is an integer number (33815544).

Almost surely, 2^2393653248 is an apocalyptic number.

2393653248 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 2393653248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057865280).

2393653248 is an abundant number, since it is smaller than the sum of its proper divisors (5722077312).

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

2393653248 is an frugal number, since it uses more digits than its factorization.

2393653248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 785 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 2393653248 is about 48924.9757077099. The cubic root of 2393653248 is about 1337.6846569284.

The spelling of 2393653248 in words is "two billion, three hundred ninety-three million, six hundred fifty-three thousand, two hundred forty-eight".