2478926494800 has 1440 divisors, whose sum is σ = 10593385979904. Its totient is φ = 544755456000.

The previous prime is 2478926494721. The next prime is 2478926494813. The reversal of 2478926494800 is 84946298742.

2478926494800 is a `hidden beast` number, since 2 + 4 + 7 + 8 + 92 + 64 + 9 + 480 + 0 = 666.

It is a super-2 number, since 2×2478926494800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4450496122 + ... + 4450496678.

Almost surely, 2^{2478926494800} is an apocalyptic number.

2478926494800 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 2478926494800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5296692989952).

2478926494800 is an abundant number, since it is smaller than the sum of its proper divisors (8114459485104).

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

2478926494800 is a wasteful number, since it uses less digits than its factorization.

2478926494800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 2478926494800 in words is "two trillion, four hundred seventy-eight billion, nine hundred twenty-six million, four hundred ninety-four thousand, eight hundred".