2564765450700 has 72 divisors (see below), whose sum is σ = 7811285670720. Its totient is φ = 647940744000.

The previous prime is 2564765450683. The next prime is 2564765450713. The reversal of 2564765450700 is 70545674652.

2564765450700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224973726 + ... + 224985125.

It is an arithmetic number, because the mean of its divisors is an integer number (108490078760).

Almost surely, 2^{2564765450700} is an apocalyptic number.

2564765450700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564765450700 is an abundant number, since it is smaller than the sum of its proper divisors (5246520220020).

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

2564765450700 is a wasteful number, since it uses less digits than its factorization.

2564765450700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449958887 (or 449958880 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 51.

The spelling of 2564765450700 in words is "two trillion, five hundred sixty-four billion, seven hundred sixty-five million, four hundred fifty thousand, seven hundred".