2400202000420 has 48 divisors (see below), whose sum is σ = 5790644471808. Its totient is φ = 818617875840.

The previous prime is 2400202000381. The next prime is 2400202000423. The reversal of 2400202000420 is 240002020042.

It is a junction number, because it is equal to n+sod(n) for n = 2400202000394 and 2400202000403.

It is not an unprimeable number, because it can be changed into a prime (2400202000423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44853627 + ... + 44907106.

It is an arithmetic number, because the mean of its divisors is an integer number (120638426496).

Almost surely, 2^{2400202000420} is an apocalyptic number.

2400202000420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400202000420 is an abundant number, since it is smaller than the sum of its proper divisors (3390442471388).

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

2400202000420 is a wasteful number, since it uses less digits than its factorization.

2400202000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89760940 (or 89760938 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 2400202000420 its reverse (240002020042), we get a palindrome (2640204020462).

The spelling of 2400202000420 in words is "two trillion, four hundred billion, two hundred two million, four hundred twenty", and thus it is an aban number.