2753663440 has 80 divisors (see below), whose sum is σ = 6999302016. Its totient is φ = 999180800.

The previous prime is 2753663413. The next prime is 2753663449. The reversal of 2753663440 is 443663572.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2753663393 and 2753663402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2753663449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439530 + ... + 445750.

Almost surely, 2^2753663440 is an apocalyptic number.

2753663440 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 2753663440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499651008).

2753663440 is an abundant number, since it is smaller than the sum of its proper divisors (4245638576).

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

2753663440 is a wasteful number, since it uses less digits than its factorization.

2753663440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6748 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 40.

The square root of 2753663440 is about 52475.3603131984. The cubic root of 2753663440 is about 1401.6415167267.

The spelling of 2753663440 in words is "two billion, seven hundred fifty-three million, six hundred sixty-three thousand, four hundred forty".