2451104000 has 72 divisors (see below), whose sum is σ = 6106086168. Its totient is φ = 980428800.

The previous prime is 2451103973. The next prime is 2451104009. The reversal of 2451104000 is 4011542.

It can be written as a sum of positive squares in 4 ways, for example, as 3625216 + 2447478784 = 1904^2 + 49472^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2451104000.

It is not an unprimeable number, because it can be changed into a prime (2451104009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6299 + ... + 70298.

Almost surely, 2^2451104000 is an apocalyptic number.

2451104000 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 2451104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053043084).

2451104000 is an abundant number, since it is smaller than the sum of its proper divisors (3654982168).

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

2451104000 is an frugal number, since it uses more digits than its factorization.

2451104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76628 (or 76604 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2451104000 is about 49508.6255111167. The cubic root of 2451104000 is about 1348.3022095656.

Adding to 2451104000 its reverse (4011542), we get a palindrome (2455115542).

The spelling of 2451104000 in words is "two billion, four hundred fifty-one million, one hundred four thousand".