2478974008500 has 1728 divisors, whose sum is σ = 9631140599808. Its totient is φ = 533744640000.

The previous prime is 2478974008463. The next prime is 2478974008523. The reversal of 2478974008500 is 58004798742.

It is a happy number.

2478974008500 is a `hidden beast` number, since 2 + 4 + 7 + 8 + 97 + 40 + 0 + 8 + 500 = 666.

2478974008500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2478974008500² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 15208429419 + ... + 15208429581.

It is an arithmetic number, because the mean of its divisors is an integer number (5573576736).

Almost surely, 2^{2478974008500} is an apocalyptic number.

2478974008500 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 2478974008500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815570299904).

2478974008500 is an abundant number, since it is smaller than the sum of its proper divisors (7152166591308).

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

2478974008500 is a wasteful number, since it uses less digits than its factorization.

2478974008500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 2478974008500 in words is "two trillion, four hundred seventy-eight billion, nine hundred seventy-four million, eight thousand, five hundred".