2420114340200 has 96 divisors (see below), whose sum is σ = 5647147413600. Its totient is φ = 964541571840.

The previous prime is 2420114340199. The next prime is 2420114340211. The reversal of 2420114340200 is 20434110242.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227727287 + ... + 227737913.

It is an arithmetic number, because the mean of its divisors is an integer number (58824452225).

Almost surely, 2^{2420114340200} is an apocalyptic number.

2420114340200 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 2420114340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823573706800).

2420114340200 is an abundant number, since it is smaller than the sum of its proper divisors (3227033073400).

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

2420114340200 is a wasteful number, since it uses less digits than its factorization.

2420114340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14659 (or 14650 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 2420114340200 its reverse (20434110242), we get a palindrome (2440548450442).

The spelling of 2420114340200 in words is "two trillion, four hundred twenty billion, one hundred fourteen million, three hundred forty thousand, two hundred".