2478133862400 has 336 divisors, whose sum is σ = 9364430530944. Its totient is φ = 566429614080.

The previous prime is 2478133862381. The next prime is 2478133862417. The reversal of 2478133862400 is 42683318742.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2478133862400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2478133862400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4012699 + ... + 4588901.

Almost surely, 2^{2478133862400} is an apocalyptic number.

2478133862400 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 2478133862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682215265472).

2478133862400 is an abundant number, since it is smaller than the sum of its proper divisors (6886296668544).

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

2478133862400 is an equidigital number, since it uses as much as digits as its factorization.

2478133862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576249 (or 576220 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 2478133862400 in words is "two trillion, four hundred seventy-eight billion, one hundred thirty-three million, eight hundred sixty-two thousand, four hundred".