2578474005100 has 144 divisors (see below), whose sum is σ = 6437403979776. Its totient is φ = 878150304000.

The previous prime is 2578474005047. The next prime is 2578474005113. The reversal of 2578474005100 is 15004748752.

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 47 ways as a sum of consecutive naturals, for example, 71944185 + ... + 71980015.

It is an arithmetic number, because the mean of its divisors is an integer number (44704194304).

Almost surely, 2^{2578474005100} is an apocalyptic number.

2578474005100 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 2578474005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218701989888).

2578474005100 is an abundant number, since it is smaller than the sum of its proper divisors (3858929974676).

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

2578474005100 is a wasteful number, since it uses less digits than its factorization.

2578474005100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36536 (or 36529 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 43.

The spelling of 2578474005100 in words is "two trillion, five hundred seventy-eight billion, four hundred seventy-four million, five thousand, one hundred".