2420450208 has 384 divisors, whose sum is σ = 8308500480. Its totient is φ = 677376000.

The previous prime is 2420450183. The next prime is 2420450213. The reversal of 2420450208 is 8020540242.

It is a happy number.

2420450208 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 450 + 208 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11471223 + ... + 11471433.

It is an arithmetic number, because the mean of its divisors is an integer number (21636720).

Almost surely, 2^2420450208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420450208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154250240).

2420450208 is an abundant number, since it is smaller than the sum of its proper divisors (5888050272).

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

2420450208 is a wasteful number, since it uses less digits than its factorization.

2420450208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2420450208 is about 49198.0711817039. The cubic root of 2420450208 is about 1342.6579396593.

The spelling of 2420450208 in words is "two billion, four hundred twenty million, four hundred fifty thousand, two hundred eight".