2748115440 has 480 divisors, whose sum is σ = 11149572096. Its totient is φ = 593049600.

The previous prime is 2748115397. The next prime is 2748115459. The reversal of 2748115440 is 445118472.

It is a happy number.

2748115440 is a `hidden beast` number, since 27 + 481 + 154 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2748115395 and 2748115404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17503842 + ... + 17503998.

Almost surely, 2^2748115440 is an apocalyptic number.

2748115440 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 2748115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574786048).

2748115440 is an abundant number, since it is smaller than the sum of its proper divisors (8401456656).

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

2748115440 is a wasteful number, since it uses less digits than its factorization.

2748115440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2748115440 is about 52422.4707544389. The cubic root of 2748115440 is about 1400.6995551484.

The spelling of 2748115440 in words is "two billion, seven hundred forty-eight million, one hundred fifteen thousand, four hundred forty".