2574041386434 has 128 divisors (see below), whose sum is σ = 6358487040000. Its totient is φ = 691989822720.

The previous prime is 2574041386409. The next prime is 2574041386487. The reversal of 2574041386434 is 4346831404752.

It is a super-3 number, since 3×2574041386434³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 63 ways as a sum of consecutive naturals, for example, 167890149 + ... + 167905479.

It is an arithmetic number, because the mean of its divisors is an integer number (49675680000).

Almost surely, 2^{2574041386434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2574041386434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179243520000).

2574041386434 is an abundant number, since it is smaller than the sum of its proper divisors (3784445653566).

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

2574041386434 is a wasteful number, since it uses less digits than its factorization.

2574041386434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20173 (or 20159 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 51.

The spelling of 2574041386434 in words is "two trillion, five hundred seventy-four billion, forty-one million, three hundred eighty-six thousand, four hundred thirty-four".