2756329440 has 192 divisors, whose sum is σ = 8842369536. Its totient is φ = 721631232.

The previous prime is 2756329397. The next prime is 2756329451. The reversal of 2756329440 is 449236572.

It is a junction number, because it is equal to n+sod(n) for n = 2756329392 and 2756329401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9739539 + ... + 9739821.

It is an arithmetic number, because the mean of its divisors is an integer number (46054008).

Almost surely, 2^2756329440 is an apocalyptic number.

2756329440 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 2756329440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421184768).

2756329440 is an abundant number, since it is smaller than the sum of its proper divisors (6086040096).

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

2756329440 is a wasteful number, since it uses less digits than its factorization.

2756329440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 2756329440 is about 52500.7565659772. The cubic root of 2756329440 is about 1402.0937108158.

The spelling of 2756329440 in words is "two billion, seven hundred fifty-six million, three hundred twenty-nine thousand, four hundred forty".