2572518781206 has 192 divisors, whose sum is σ = 6334012339200. Its totient is φ = 776060352000.

The previous prime is 2572518781201. The next prime is 2572518781229. The reversal of 2572518781206 is 6021878152752.

It is a happy number.

2572518781206 is a `hidden beast` number, since 2 + 57 + 2 + 518 + 78 + 1 + 2 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2572518781201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1541352540 + ... + 1541354208.

It is an arithmetic number, because the mean of its divisors is an integer number (32989647600).

Almost surely, 2^{2572518781206} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2572518781206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167006169600).

2572518781206 is an abundant number, since it is smaller than the sum of its proper divisors (3761493557994).

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

2572518781206 is a wasteful number, since it uses less digits than its factorization.

2572518781206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 2572518781206 in words is "two trillion, five hundred seventy-two billion, five hundred eighteen million, seven hundred eighty-one thousand, two hundred six".