2753045169840 has 1280 divisors, whose sum is σ = 12035983933440. Its totient is φ = 563561349120.

The previous prime is 2753045169839. The next prime is 2753045169883. The reversal of 2753045169840 is 489615403572.

It is a happy number.

2753045169840 is a `hidden beast` number, since 2 + 7 + 5 + 30 + 4 + 516 + 98 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1247414017 + ... + 1247416223.

It is an arithmetic number, because the mean of its divisors is an integer number (9403112448).

It is a 1-persistent number, because it is pandigital, but 2⋅2753045169840 = 5506090339680 is not.

Almost surely, 2^{2753045169840} is an apocalyptic number.

2753045169840 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 2753045169840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6017991966720).

2753045169840 is an abundant number, since it is smaller than the sum of its proper divisors (9282938763600).

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

2753045169840 is a wasteful number, since it uses less digits than its factorization.

2753045169840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2753045169840 in words is "two trillion, seven hundred fifty-three billion, forty-five million, one hundred sixty-nine thousand, eight hundred forty".