2400042420 has 192 divisors, whose sum is σ = 7829902080. Its totient is φ = 609638400.

The previous prime is 2400042409. The next prime is 2400042427. The reversal of 2400042420 is 242400042.

2400042420 is a `hidden beast` number, since 240 + 0 + 0 + 4 + 2 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2400042393 and 2400042402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400042427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 950760 + ... + 953280.

It is an arithmetic number, because the mean of its divisors is an integer number (40780740).

Almost surely, 2^2400042420 is an apocalyptic number.

2400042420 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 2400042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914951040).

2400042420 is an abundant number, since it is smaller than the sum of its proper divisors (5429859660).

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

2400042420 is a wasteful number, since it uses less digits than its factorization.

2400042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2400042420 is about 48990.2278010625. The cubic root of 2400042420 is about 1338.8737882695.

Adding to 2400042420 its reverse (242400042), we get a palindrome (2642442462).

The spelling of 2400042420 in words is "two billion, four hundred million, forty-two thousand, four hundred twenty".