2924238240 has 768 divisors, whose sum is σ = 13063680000. Its totient is φ = 593326080.

The previous prime is 2924238227. The next prime is 2924238241. The reversal of 2924238240 is 428324292.

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

It is a junction number, because it is equal to n+sod(n) for n = 2924238195 and 2924238204.

It is not an unprimeable number, because it can be changed into a prime (2924238241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19625686 + ... + 19625834.

It is an arithmetic number, because the mean of its divisors is an integer number (17010000).

Almost surely, 2^2924238240 is an apocalyptic number.

2924238240 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 2924238240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840000).

2924238240 is an abundant number, since it is smaller than the sum of its proper divisors (10139441760).

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

2924238240 is a wasteful number, since it uses less digits than its factorization.

2924238240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2924238240 is about 54076.2261996896. The cubic root of 2924238240 is about 1430.0050923254.

The spelling of 2924238240 in words is "two billion, nine hundred twenty-four million, two hundred thirty-eight thousand, two hundred forty".