2754592652130 has 256 divisors, whose sum is σ = 7712566751232. Its totient is φ = 627421977600.

The previous prime is 2754592652129. The next prime is 2754592652131. The reversal of 2754592652130 is 312562954572.

It is an interprime number because it is at equal distance from previous prime (2754592652129) and next prime (2754592652131).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (2754592652131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 436471675 + ... + 436477985.

It is an arithmetic number, because the mean of its divisors is an integer number (30127213872).

Almost surely, 2^{2754592652130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2754592652130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856283375616).

2754592652130 is an abundant number, since it is smaller than the sum of its proper divisors (4957974099102).

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

2754592652130 is a wasteful number, since it uses less digits than its factorization.

2754592652130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7014 (or 6992 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 2754592652130 in words is "two trillion, seven hundred fifty-four billion, five hundred ninety-two million, six hundred fifty-two thousand, one hundred thirty".