2755893504 has 288 divisors, whose sum is σ = 9230376960. Its totient is φ = 710516736.

The previous prime is 2755893473. The next prime is 2755893527. The reversal of 2755893504 is 4053985572.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 3284317 + ... + 3285155.

It is an arithmetic number, because the mean of its divisors is an integer number (32049920).

Almost surely, 2^2755893504 is an apocalyptic number.

2755893504 is a gapful number since it is divisible by the number (24) 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 2755893504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615188480).

2755893504 is an abundant number, since it is smaller than the sum of its proper divisors (6474483456).

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

2755893504 is a wasteful number, since it uses less digits than its factorization.

2755893504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The square root of 2755893504 is about 52496.6046902083. The cubic root of 2755893504 is about 1402.0197893969.

The spelling of 2755893504 in words is "two billion, seven hundred fifty-five million, eight hundred ninety-three thousand, five hundred four".