2753131680 has 432 divisors, whose sum is σ = 10575321120. Its totient is φ = 676076544.

The previous prime is 2753131649. The next prime is 2753131723. The reversal of 2753131680 is 861313572.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6570511 + ... + 6570929.

It is an arithmetic number, because the mean of its divisors is an integer number (24479910).

Almost surely, 2^2753131680 is an apocalyptic number.

2753131680 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 2753131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287660560).

2753131680 is an abundant number, since it is smaller than the sum of its proper divisors (7822189440).

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

2753131680 is a wasteful number, since it uses less digits than its factorization.

2753131680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2753131680 is about 52470.2933096433. The cubic root of 2753131680 is about 1401.5512872449.

The spelling of 2753131680 in words is "two billion, seven hundred fifty-three million, one hundred thirty-one thousand, six hundred eighty".