2419120800 has 216 divisors, whose sum is σ = 8564319036. Its totient is φ = 642539520.

The previous prime is 2419120787. The next prime is 2419120813. The reversal of 2419120800 is 80219142.

It is an interprime number because it is at equal distance from previous prime (2419120787) and next prime (2419120813).

It can be written as a sum of positive squares in 6 ways, for example, as 1064586384 + 1354534416 = 32628^2 + 36804^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2425902 + ... + 2426898.

Almost surely, 2^2419120800 is an apocalyptic number.

2419120800 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 2419120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4282159518).

2419120800 is an abundant number, since it is smaller than the sum of its proper divisors (6145198236).

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

2419120800 is a wasteful number, since it uses less digits than its factorization.

2419120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2419120800 is about 49184.5585524563. The cubic root of 2419120800 is about 1342.4120808398.

Adding to 2419120800 its reverse (80219142), we get a palindrome (2499339942).

The spelling of 2419120800 in words is "two billion, four hundred nineteen million, one hundred twenty thousand, eight hundred".