2562545664 has 144 divisors (see below), whose sum is σ = 8458828560. Its totient is φ = 732119040.

The previous prime is 2562545659. The next prime is 2562545683. The reversal of 2562545664 is 4665452652.

2562545664 is a `hidden beast` number, since 25 + 62 + 5 + 4 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119094 + ... + 138954.

It is an arithmetic number, because the mean of its divisors is an integer number (58741865).

Almost surely, 2^2562545664 is an apocalyptic number.

2562545664 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 2562545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229414280).

2562545664 is an abundant number, since it is smaller than the sum of its proper divisors (5896282896).

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

2562545664 is a wasteful number, since it uses less digits than its factorization.

2562545664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19896 (or 19873 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The square root of 2562545664 is about 50621.5928631251. The cubic root of 2562545664 is about 1368.4340471458.

It can be divided in two parts, 25625 and 45664, that added together give a square (71289 = 267²).

The spelling of 2562545664 in words is "two billion, five hundred sixty-two million, five hundred forty-five thousand, six hundred sixty-four".