2753886240 has 432 divisors, whose sum is σ = 11293551360. Its totient is φ = 608670720.

The previous prime is 2753886217. The next prime is 2753886251. The reversal of 2753886240 is 426883572.

2753886240 is a `hidden beast` number, since 27 + 5 + 388 + 6 + 240 = 666.

It is a super-2 number, since 2×2753886240² = 15167778845722675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2186731 + ... + 2187989.

It is an arithmetic number, because the mean of its divisors is an integer number (26142480).

Almost surely, 2^2753886240 is an apocalyptic number.

2753886240 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 2753886240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646775680).

2753886240 is an abundant number, since it is smaller than the sum of its proper divisors (8539665120).

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

2753886240 is a wasteful number, since it uses less digits than its factorization.

2753886240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2753886240 is about 52477.4831713565. The cubic root of 2753886240 is about 1401.6793181640.

The spelling of 2753886240 in words is "two billion, seven hundred fifty-three million, eight hundred eighty-six thousand, two hundred forty".