2575649664 has 320 divisors, whose sum is σ = 9146903040. Its totient is φ = 703448064.

The previous prime is 2575649627. The next prime is 2575649677. The reversal of 2575649664 is 4669465752.

2575649664 is a `hidden beast` number, since 2 + 575 + 6 + 4 + 9 + 6 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2575649664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1668477 + ... + 1670019.

It is an arithmetic number, because the mean of its divisors is an integer number (28584072).

Almost surely, 2^2575649664 is an apocalyptic number.

2575649664 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 2575649664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573451520).

2575649664 is an abundant number, since it is smaller than the sum of its proper divisors (6571253376).

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

2575649664 is a wasteful number, since it uses less digits than its factorization.

2575649664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1578 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 2575649664 is about 50750.8587513551. The cubic root of 2575649664 is about 1370.7626534915.

The spelling of 2575649664 in words is "two billion, five hundred seventy-five million, six hundred forty-nine thousand, six hundred sixty-four".