2744628480 has 432 divisors, whose sum is σ = 10503380160. Its totient is φ = 661647360.

The previous prime is 2744628463. The next prime is 2744628503. The reversal of 2744628480 is 848264472.

It is a super-2 number, since 2×2744628480² = 15065970986454220800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15333031 + ... + 15333209.

It is an arithmetic number, because the mean of its divisors is an integer number (24313380).

Almost surely, 2^2744628480 is an apocalyptic number.

2744628480 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 2744628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251690080).

2744628480 is an abundant number, since it is smaller than the sum of its proper divisors (7758751680).

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

2744628480 is a wasteful number, since it uses less digits than its factorization.

2744628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 2744628480 is about 52389.2019408580. The cubic root of 2744628480 is about 1400.1068761946.

The spelling of 2744628480 in words is "two billion, seven hundred forty-four million, six hundred twenty-eight thousand, four hundred eighty".