2420653200 has 480 divisors, whose sum is σ = 9668428800. Its totient is φ = 505128960.

The previous prime is 2420653199. The next prime is 2420653231. The reversal of 2420653200 is 23560242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4628139 + ... + 4628661.

It is an arithmetic number, because the mean of its divisors is an integer number (20142560).

Almost surely, 2^2420653200 is an apocalyptic number.

2420653200 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 2420653200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834214400).

2420653200 is an abundant number, since it is smaller than the sum of its proper divisors (7247775600).

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

2420653200 is a wasteful number, since it uses less digits than its factorization.

2420653200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2420653200 is about 49200.1341461586. The cubic root of 2420653200 is about 1342.6954727872.

The spelling of 2420653200 in words is "two billion, four hundred twenty million, six hundred fifty-three thousand, two hundred".