2419472800 has 36 divisors (see below), whose sum is σ = 5906539926. Its totient is φ = 967788800.

The previous prime is 2419472791. The next prime is 2419472807. The reversal of 2419472800 is 82749142.

It can be written as a sum of positive squares in 3 ways, for example, as 2226707344 + 192765456 = 47188^2 + 13884^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2419472800.

It is not an unprimeable number, because it can be changed into a prime (2419472807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1511371 + ... + 1512970.

Almost surely, 2^2419472800 is an apocalyptic number.

2419472800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2419472800 is an abundant number, since it is smaller than the sum of its proper divisors (3487067126).

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

2419472800 is a wasteful number, since it uses less digits than its factorization.

2419472800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024361 (or 3024348 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 2419472800 is about 49188.1367811386. The cubic root of 2419472800 is about 1342.4771879833.

The spelling of 2419472800 in words is "two billion, four hundred nineteen million, four hundred seventy-two thousand, eight hundred".