2758545664 has 288 divisors, whose sum is σ = 7233601536. Its totient is φ = 1021870080.

The previous prime is 2758545661. The next prime is 2758545677. The reversal of 2758545664 is 4665458572.

It is not an unprimeable number, because it can be changed into a prime (2758545661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21720769 + ... + 21720895.

It is an arithmetic number, because the mean of its divisors is an integer number (25116672).

Almost surely, 2^2758545664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2758545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616800768).

2758545664 is an abundant number, since it is smaller than the sum of its proper divisors (4475055872).

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

2758545664 is a wasteful number, since it uses less digits than its factorization.

2758545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 207 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 52.

The square root of 2758545664 is about 52521.8589160742. The cubic root of 2758545664 is about 1402.4693941718.

The spelling of 2758545664 in words is "two billion, seven hundred fifty-eight million, five hundred forty-five thousand, six hundred sixty-four".