2400204060020 has 96 divisors (see below), whose sum is σ = 5606104519680. Its totient is φ = 857205089280.

The previous prime is 2400204060019. The next prime is 2400204060043. The reversal of 2400204060020 is 200604020042.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2400204059974 and 2400204060001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15988871 + ... + 16138289.

It is an arithmetic number, because the mean of its divisors is an integer number (58396922080).

Almost surely, 2^{2400204060020} is an apocalyptic number.

2400204060020 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 2400204060020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803052259840).

2400204060020 is an abundant number, since it is smaller than the sum of its proper divisors (3205900459660).

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

2400204060020 is a wasteful number, since it uses less digits than its factorization.

2400204060020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151465 (or 151463 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2400204060020 its reverse (200604020042), we get a palindrome (2600808080062).

The spelling of 2400204060020 in words is "two trillion, four hundred billion, two hundred four million, sixty thousand, twenty".