2040242400 has 324 divisors, whose sum is σ = 8370448632. Its totient is φ = 466260480.

The previous prime is 2040242377. The next prime is 2040242429. The reversal of 2040242400 is 42420402.

2040242400 is a `hidden beast` number, since 20 + 4 + 0 + 242 + 400 = 666.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 349909 + ... + 355691.

It is an arithmetic number, because the mean of its divisors is an integer number (25834718).

Almost surely, 2^2040242400 is an apocalyptic number.

2040242400 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 2040242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185224316).

2040242400 is an abundant number, since it is smaller than the sum of its proper divisors (6330206232).

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

2040242400 is a wasteful number, since it uses less digits than its factorization.

2040242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5823 (or 5800 counting only the distinct ones).

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

The square root of 2040242400 is about 45169.0424959396. The cubic root of 2040242400 is about 1268.3153723343.

Adding to 2040242400 its reverse (42420402), we get a palindrome (2082662802).

The spelling of 2040242400 in words is "two billion, forty million, two hundred forty-two thousand, four hundred".