2420215200 has 720 divisors, whose sum is σ = 10123648920. Its totient is φ = 560701440.

The previous prime is 2420215163. The next prime is 2420215241. The reversal of 2420215200 is 25120242.

It can be written as a sum of positive squares in 12 ways, for example, as 727057296 + 1693157904 = 26964^2 + 41148^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2420215200² = 11714883228622080000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 142365592 + ... + 142365608.

Almost surely, 2^2420215200 is an apocalyptic number.

2420215200 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 2420215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061824460).

2420215200 is an abundant number, since it is smaller than the sum of its proper divisors (7703433720).

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

2420215200 is a wasteful number, since it uses less digits than its factorization.

2420215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2420215200 is about 49195.6827374110. The cubic root of 2420215200 is about 1342.6144841665.

Adding to 2420215200 its reverse (25120242), we get a palindrome (2445335442).

The spelling of 2420215200 in words is "two billion, four hundred twenty million, two hundred fifteen thousand, two hundred".