2753541117340 has 192 divisors, whose sum is σ = 6432256147968. Its totient is φ = 983743488000.

The previous prime is 2753541117331. The next prime is 2753541117343. The reversal of 2753541117340 is 437111453572.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2753541117343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1156462950 + ... + 1156465330.

It is an arithmetic number, because the mean of its divisors is an integer number (33501334104).

Almost surely, 2^{2753541117340} is an apocalyptic number.

2753541117340 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 2753541117340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216128073984).

2753541117340 is an abundant number, since it is smaller than the sum of its proper divisors (3678715030628).

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

2753541117340 is a wasteful number, since it uses less digits than its factorization.

2753541117340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 2753541117340 in words is "two trillion, seven hundred fifty-three billion, five hundred forty-one million, one hundred seventeen thousand, three hundred forty".