2424242400 has 288 divisors, whose sum is σ = 8137166688. Its totient is φ = 626688000.

The previous prime is 2424242399. The next prime is 2424242411. The reversal of 2424242400 is 42424242.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 17695132 + ... + 17695268.

It is an arithmetic number, because the mean of its divisors is an integer number (28254051).

Almost surely, 2^2424242400 is an apocalyptic number.

2424242400 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 2424242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068583344).

2424242400 is an abundant number, since it is smaller than the sum of its proper divisors (5712924288).

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

2424242400 is a wasteful number, since it uses less digits than its factorization.

2424242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2424242400 is about 49236.5961455501. The cubic root of 2424242400 is about 1343.3587679501.

Adding to 2424242400 its reverse (42424242), we get a palindrome (2466666642).

It can be divided in two parts, 2424 and 242400, that multiplied together give a square (587577600 = 24240²).

The spelling of 2424242400 in words is "two billion, four hundred twenty-four million, two hundred forty-two thousand, four hundred".