305420202000 has 240 divisors, whose sum is σ = 1069188531840. Its totient is φ = 81257760000.

The previous prime is 305420201981. The next prime is 305420202079. The reversal of 305420202000 is 202024503.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7882675 + ... + 7921325.

It is an arithmetic number, because the mean of its divisors is an integer number (4454952216).

Almost surely, 2^305420202000 is an apocalyptic number.

305420202000 is a gapful number since it is divisible by the number (30) 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 305420202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534594265920).

305420202000 is an abundant number, since it is smaller than the sum of its proper divisors (763768329840).

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

305420202000 is a wasteful number, since it uses less digits than its factorization.

305420202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39119 (or 39100 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 305420202000 its reverse (202024503), we get a palindrome (305622226503).

The spelling of 305420202000 in words is "three hundred five billion, four hundred twenty million, two hundred two thousand".