2481418324800 has 672 divisors, whose sum is σ = 9201677344640. Its totient is φ = 650347315200.

The previous prime is 2481418324783. The next prime is 2481418324907. The reversal of 2481418324800 is 84238141842.

2481418324800 is a `hidden beast` number, since 24 + 8 + 141 + 8 + 3 + 2 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1913197752 + ... + 1913199048.

Almost surely, 2^{2481418324800} is an apocalyptic number.

2481418324800 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 2481418324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600838672320).

2481418324800 is an abundant number, since it is smaller than the sum of its proper divisors (6720259019840).

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

2481418324800 is a wasteful number, since it uses less digits than its factorization.

2481418324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 2481418324800 in words is "two trillion, four hundred eighty-one billion, four hundred eighteen million, three hundred twenty-four thousand, eight hundred".