2748564624 has 240 divisors, whose sum is σ = 8577576000. Its totient is φ = 753352704.

The previous prime is 2748564557. The next prime is 2748564629. The reversal of 2748564624 is 4264658472.

It is a super-2 number, since 2×2748564624² = 15109214984608522752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2748564629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2619652 + ... + 2620700.

It is an arithmetic number, because the mean of its divisors is an integer number (35739900).

Almost surely, 2^2748564624 is an apocalyptic number.

2748564624 is a gapful number since it is divisible by the number (24) 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 2748564624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288788000).

2748564624 is an abundant number, since it is smaller than the sum of its proper divisors (5829011376).

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

2748564624 is a wasteful number, since it uses less digits than its factorization.

2748564624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1103 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 48.

The square root of 2748564624 is about 52426.7548490272. The cubic root of 2748564624 is about 1400.7758665414.

The spelling of 2748564624 in words is "two billion, seven hundred forty-eight million, five hundred sixty-four thousand, six hundred twenty-four".