2752125376 has 504 divisors, whose sum is σ = 8340370416. Its totient is φ = 882524160.

The previous prime is 2752125361. The next prime is 2752125403. The reversal of 2752125376 is 6735212572.

Its product of digits (176400) is a multiple of the sum of its prime factors (105).

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, 144848695 + ... + 144848713.

It is an arithmetic number, because the mean of its divisors is an integer number (16548354).

Almost surely, 2^2752125376 is an apocalyptic number.

2752125376 is a gapful number since it is divisible by the number (26) 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 2752125376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170185208).

2752125376 is an abundant number, since it is smaller than the sum of its proper divisors (5588245040).

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

2752125376 is a wasteful number, since it uses less digits than its factorization.

2752125376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 69 counting only the distinct ones).

The product of its digits is 176400, while the sum is 40.

The square root of 2752125376 is about 52460.7031596032. The cubic root of 2752125376 is about 1401.3805049379.

The spelling of 2752125376 in words is "two billion, seven hundred fifty-two million, one hundred twenty-five thousand, three hundred seventy-six".