2755357440 has 576 divisors, whose sum is σ = 10334725632. Its totient is φ = 619315200.

The previous prime is 2755357411. The next prime is 2755357457. The reversal of 2755357440 is 447535572.

It is a junction number, because it is equal to n+sod(n) for n = 2755357392 and 2755357401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64078059 + ... + 64078101.

It is an arithmetic number, because the mean of its divisors is an integer number (17942232).

Almost surely, 2^2755357440 is an apocalyptic number.

2755357440 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 2755357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5167362816).

2755357440 is an abundant number, since it is smaller than the sum of its proper divisors (7579368192).

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

2755357440 is a wasteful number, since it uses less digits than its factorization.

2755357440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 42.

The square root of 2755357440 is about 52491.4987402722. The cubic root of 2755357440 is about 1401.9288786425.

The spelling of 2755357440 in words is "two billion, seven hundred fifty-five million, three hundred fifty-seven thousand, four hundred forty".