2570168262432 has 192 divisors, whose sum is σ = 7102977557760. Its totient is φ = 812610355200.

The previous prime is 2570168262413. The next prime is 2570168262433. The reversal of 2570168262432 is 2342628610752.

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

It is not an unprimeable number, because it can be changed into a prime (2570168262433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55520448 + ... + 55566720.

It is an arithmetic number, because the mean of its divisors is an integer number (36994674780).

Almost surely, 2^{2570168262432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2570168262432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551488778880).

2570168262432 is an abundant number, since it is smaller than the sum of its proper divisors (4532809295328).

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

2570168262432 is a wasteful number, since it uses less digits than its factorization.

2570168262432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46667 (or 46659 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 2570168262432 in words is "two trillion, five hundred seventy billion, one hundred sixty-eight million, two hundred sixty-two thousand, four hundred thirty-two".