2473672448800 has 216 divisors, whose sum is σ = 7049818665540. Its totient is φ = 845094297600.

The previous prime is 2473672448747. The next prime is 2473672448843. The reversal of 2473672448800 is 88442763742.

It can be written as a sum of positive squares in 6 ways, for example, as 1070802761616 + 1402869687184 = 1034796^2 + 1184428^2 .

It is a super-2 number, since 2×2473672448800² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10902916 + ... + 11127484.

Almost surely, 2^{2473672448800} is an apocalyptic number.

2473672448800 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 2473672448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524909332770).

2473672448800 is an abundant number, since it is smaller than the sum of its proper divisors (4576146216740).

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

2473672448800 is a wasteful number, since it uses less digits than its factorization.

2473672448800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224884 (or 224864 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 55.

The spelling of 2473672448800 in words is "two trillion, four hundred seventy-three billion, six hundred seventy-two million, four hundred forty-eight thousand, eight hundred".