2478044318400 has 1344 divisors, whose sum is σ = 10681830604800. Its totient is φ = 547093647360.

The previous prime is 2478044318377. The next prime is 2478044318459. The reversal of 2478044318400 is 48134408742.

2478044318400 is a `hidden beast` number, since 24 + 7 + 8 + 0 + 443 + 184 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×2478044318400² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1122810097 + ... + 1122812303.

Almost surely, 2^{2478044318400} is an apocalyptic number.

2478044318400 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 2478044318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340915302400).

2478044318400 is an abundant number, since it is smaller than the sum of its proper divisors (8203786286400).

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

2478044318400 is a wasteful number, since it uses less digits than its factorization.

2478044318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 2478044318400 in words is "two trillion, four hundred seventy-eight billion, forty-four million, three hundred eighteen thousand, four hundred".