2570538379968 has 420 divisors, whose sum is σ = 8452478571768. Its totient is φ = 771633008640.

The previous prime is 2570538379943. The next prime is 2570538380029. The reversal of 2570538379968 is 8699738350752.

It is a happy number.

2570538379968 is a `hidden beast` number, since 2 + 57 + 0 + 538 + 37 + 9 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2570538379896 and 2570538379905.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35884155 + ... + 35955717.

Almost surely, 2^{2570538379968} 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 2570538379968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226239285884).

2570538379968 is an abundant number, since it is smaller than the sum of its proper divisors (5881940191800).

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

2570538379968 is a wasteful number, since it uses less digits than its factorization.

2570538379968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71654 (or 71622 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 2570538379968 in words is "two trillion, five hundred seventy billion, five hundred thirty-eight million, three hundred seventy-nine thousand, nine hundred sixty-eight".