2752012032 has 288 divisors, whose sum is σ = 9218603520. Its totient is φ = 708034560.

The previous prime is 2752012019. The next prime is 2752012033. The reversal of 2752012032 is 2302102572.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2752011993 and 2752012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2752012033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10230394 + ... + 10230662.

It is an arithmetic number, because the mean of its divisors is an integer number (32009040).

Almost surely, 2^2752012032 is an apocalyptic number.

2752012032 is a gapful number since it is divisible by the number (22) 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 2752012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609301760).

2752012032 is an abundant number, since it is smaller than the sum of its proper divisors (6466591488).

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

2752012032 is a wasteful number, since it uses less digits than its factorization.

2752012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2752012032 is about 52459.6228732155. The cubic root of 2752012032 is about 1401.3612664427.

The spelling of 2752012032 in words is "two billion, seven hundred fifty-two million, twelve thousand, thirty-two".