2572680152064 has 704 divisors, whose sum is σ = 8068248207360. Its totient is φ = 720222289920.

The previous prime is 2572680152059. The next prime is 2572680152087. The reversal of 2572680152064 is 4602510862752.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13059290014 + ... + 13059290210.

It is an arithmetic number, because the mean of its divisors is an integer number (11460579840).

Almost surely, 2^{2572680152064} is an apocalyptic number.

2572680152064 is a gapful number since it is divisible by the number (24) 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 2572680152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4034124103680).

2572680152064 is an abundant number, since it is smaller than the sum of its proper divisors (5495568055296).

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

2572680152064 is a wasteful number, since it uses less digits than its factorization.

2572680152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 2572680152064 in words is "two trillion, five hundred seventy-two billion, six hundred eighty million, one hundred fifty-two thousand, sixty-four".