2752225920 has 192 divisors, whose sum is σ = 9598118400. Its totient is φ = 726644736.

The previous prime is 2752225913. The next prime is 2752225921. The reversal of 2752225920 is 295222572.

2752225920 is a `hidden beast` number, since 27 + 522 + 25 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (2752225921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590961 + ... + 595599.

It is an arithmetic number, because the mean of its divisors is an integer number (49990200).

Almost surely, 2^2752225920 is an apocalyptic number.

2752225920 is a gapful number since it is divisible by the number (20) 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 2752225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799059200).

2752225920 is an abundant number, since it is smaller than the sum of its proper divisors (6845892480).

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

2752225920 is a wasteful number, since it uses less digits than its factorization.

2752225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767 (or 4752 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2752225920 is about 52461.6614300386. The cubic root of 2752225920 is about 1401.3975703772.

The spelling of 2752225920 in words is "two billion, seven hundred fifty-two million, two hundred twenty-five thousand, nine hundred twenty".