2572645345920 has 1024 divisors, whose sum is σ = 10246642560000. Its totient is φ = 605653106688.

The previous prime is 2572645345909. The next prime is 2572645345939. The reversal of 2572645345920 is 295435462752.

2572645345920 is a `hidden beast` number, since 2 + 5 + 7 + 2 + 6 + 45 + 3 + 4 + 592 + 0 = 666.

2572645345920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 710085229 + ... + 710088851.

It is an arithmetic number, because the mean of its divisors is an integer number (10006486875).

Almost surely, 2^{2572645345920} is an apocalyptic number.

2572645345920 is a gapful number since it is divisible by the number (20) 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 2572645345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5123321280000).

2572645345920 is an abundant number, since it is smaller than the sum of its proper divisors (7673997214080).

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

2572645345920 is a wasteful number, since it uses less digits than its factorization.

2572645345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 2572645345920 in words is "two trillion, five hundred seventy-two billion, six hundred forty-five million, three hundred forty-five thousand, nine hundred twenty".