2024135388 has 144 divisors (see below), whose sum is σ = 5909904000. Its totient is φ = 578309760.

The previous prime is 2024135387. The next prime is 2024135389. The reversal of 2024135388 is 8835314202.

2024135388 is a `hidden beast` number, since 2 + 0 + 241 + 35 + 388 = 666.

It is an interprime number because it is at equal distance from previous prime (2024135387) and next prime (2024135389).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024135381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491763 + ... + 495861.

It is an arithmetic number, because the mean of its divisors is an integer number (41041000).

Almost surely, 2^2024135388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024135388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954952000).

2024135388 is an abundant number, since it is smaller than the sum of its proper divisors (3885768612).

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

2024135388 is a wasteful number, since it uses less digits than its factorization.

2024135388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2024135388 is about 44990.3921743298. The cubic root of 2024135388 is about 1264.9689125659.

The spelling of 2024135388 in words is "two billion, twenty-four million, one hundred thirty-five thousand, three hundred eighty-eight".