2753641440 has 192 divisors, whose sum is σ = 10514085120. Its totient is φ = 667537920.

The previous prime is 2753641411. The next prime is 2753641463. The reversal of 2753641440 is 441463572.

2753641440 is a `hidden beast` number, since 2 + 7 + 5 + 3 + 641 + 4 + 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 = 2753641395 and 2753641404.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 18547 + ... + 76493.

It is an arithmetic number, because the mean of its divisors is an integer number (54760860).

Almost surely, 2^2753641440 is an apocalyptic number.

2753641440 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 2753641440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257042560).

2753641440 is an abundant number, since it is smaller than the sum of its proper divisors (7760443680).

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

2753641440 is a wasteful number, since it uses less digits than its factorization.

2753641440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57982 (or 57968 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2753641440 is about 52475.1506905888. The cubic root of 2753641440 is about 1401.6377839786.

The spelling of 2753641440 in words is "two billion, seven hundred fifty-three million, six hundred forty-one thousand, four hundred forty".