2751854434420 has 288 divisors, whose sum is σ = 7674750010368. Its totient is φ = 818680762368.

The previous prime is 2751854434391. The next prime is 2751854434447. The reversal of 2751854434420 is 244344581572.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 186901179 + ... + 186915901.

It is an arithmetic number, because the mean of its divisors is an integer number (26648437536).

Almost surely, 2^{2751854434420} is an apocalyptic number.

2751854434420 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 2751854434420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837375005184).

2751854434420 is an abundant number, since it is smaller than the sum of its proper divisors (4922895575948).

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

2751854434420 is a wasteful number, since it uses less digits than its factorization.

2751854434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15639 (or 15630 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 49.

The spelling of 2751854434420 in words is "two trillion, seven hundred fifty-one billion, eight hundred fifty-four million, four hundred thirty-four thousand, four hundred twenty".