2721477248 has 64 divisors (see below), whose sum is σ = 6322776000. Its totient is φ = 1166328576.

The previous prime is 2721477233. The next prime is 2721477271. The reversal of 2721477248 is 8427741272.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2721477248² = 14812876822763307008, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2721477199 and 2721477208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12911 + ... + 74897.

It is an arithmetic number, because the mean of its divisors is an integer number (98793375).

Almost surely, 2^2721477248 is an apocalyptic number.

2721477248 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 2721477248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161388000).

2721477248 is an abundant number, since it is smaller than the sum of its proper divisors (3601298752).

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

2721477248 is an frugal number, since it uses more digits than its factorization.

2721477248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62022 (or 61996 counting only the distinct ones).

The product of its digits is 351232, while the sum is 44.

The square root of 2721477248 is about 52167.7797879112. The cubic root of 2721477248 is about 1396.1590719738.

The spelling of 2721477248 in words is "two billion, seven hundred twenty-one million, four hundred seventy-seven thousand, two hundred forty-eight".