2748971520 has 320 divisors, whose sum is σ = 9905258880. Its totient is φ = 731566080.

The previous prime is 2748971507. The next prime is 2748971521. The reversal of 2748971520 is 251798472.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2748971520² = 15113688835542220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2748971521) 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, 5598475 + ... + 5598965.

It is an arithmetic number, because the mean of its divisors is an integer number (30953934).

Almost surely, 2^2748971520 is an apocalyptic number.

2748971520 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 2748971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952629440).

2748971520 is an abundant number, since it is smaller than the sum of its proper divisors (7156287360).

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

2748971520 is an frugal number, since it uses more digits than its factorization.

2748971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 2748971520 is about 52430.6353194390. The cubic root of 2748971520 is about 1400.8449864945.

The spelling of 2748971520 in words is "two billion, seven hundred forty-eight million, nine hundred seventy-one thousand, five hundred twenty".