2752921248 has 384 divisors, whose sum is σ = 10050324480. Its totient is φ = 637009920.

The previous prime is 2752921247. The next prime is 2752921291. The reversal of 2752921248 is 8421292572.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2752921247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2387040 + ... + 2388192.

It is an arithmetic number, because the mean of its divisors is an integer number (26172720).

Almost surely, 2^2752921248 is an apocalyptic number.

2752921248 is a gapful number since it is divisible by the number (28) 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 2752921248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5025162240).

2752921248 is an abundant number, since it is smaller than the sum of its proper divisors (7297403232).

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

2752921248 is a wasteful number, since it uses less digits than its factorization.

2752921248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1212 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 2752921248 is about 52468.2880223855. The cubic root of 2752921248 is about 1401.5155777585.

The spelling of 2752921248 in words is "two billion, seven hundred fifty-two million, nine hundred twenty-one thousand, two hundred forty-eight".