2388148224 has 240 divisors, whose sum is σ = 7952157696. Its totient is φ = 619315200.

The previous prime is 2388148211. The next prime is 2388148229. The reversal of 2388148224 is 4228418832.

It is a super-3 number, since 3×2388148224³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2388148229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3784389 + ... + 3785019.

Almost surely, 2^2388148224 is an apocalyptic number.

2388148224 is a gapful number since it is divisible by the number (24) 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 2388148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976078848).

2388148224 is an abundant number, since it is smaller than the sum of its proper divisors (5564009472).

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

2388148224 is an equidigital number, since it uses as much as digits as its factorization.

2388148224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 654 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 2388148224 is about 48868.6834690684. The cubic root of 2388148224 is about 1336.6583820344.

The spelling of 2388148224 in words is "two billion, three hundred eighty-eight million, one hundred forty-eight thousand, two hundred twenty-four".