2754874752 has 384 divisors, whose sum is σ = 9401495040. Its totient is φ = 697614336.

The previous prime is 2754874739. The next prime is 2754874753. The reversal of 2754874752 is 2574784572.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 2754874695 and 2754874704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2754874753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16496173 + ... + 16496339.

It is an arithmetic number, because the mean of its divisors is an integer number (24483060).

Almost surely, 2^2754874752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2754874752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700747520).

2754874752 is an abundant number, since it is smaller than the sum of its proper divisors (6646620288).

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

2754874752 is a wasteful number, since it uses less digits than its factorization.

2754874752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 215 counting only the distinct ones).

The product of its digits is 4390400, while the sum is 51.

The square root of 2754874752 is about 52486.9007658101. The cubic root of 2754874752 is about 1401.8470098009.

The spelling of 2754874752 in words is "two billion, seven hundred fifty-four million, eight hundred seventy-four thousand, seven hundred fifty-two".