2657607680 has 448 divisors, whose sum is σ = 8455200768. Its totient is φ = 778567680.

The previous prime is 2657607661. The next prime is 2657607697. The reversal of 2657607680 is 867067562.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85729265 + ... + 85729295.

It is an arithmetic number, because the mean of its divisors is an integer number (18873216).

Almost surely, 2^2657607680 is an apocalyptic number.

2657607680 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 2657607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227600384).

2657607680 is an abundant number, since it is smaller than the sum of its proper divisors (5797593088).

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

2657607680 is a wasteful number, since it uses less digits than its factorization.

2657607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The square root of 2657607680 is about 51551.9900682796. The cubic root of 2657607680 is about 1385.1504795510.

The spelling of 2657607680 in words is "two billion, six hundred fifty-seven million, six hundred seven thousand, six hundred eighty".