2755825920 has 432 divisors, whose sum is σ = 10087262640. Its totient is φ = 693633024.

The previous prime is 2755825903. The next prime is 2755825939. The reversal of 2755825920 is 295285572.

2755825920 is a `hidden beast` number, since 2 + 7 + 5 + 58 + 2 + 592 + 0 = 666.

2755825920 is a nontrivial binomial coefficient, being equal to C(74241, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 325730304 + 2430095616 = 18048^2 + 49296^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24387784 + ... + 24387896.

It is an arithmetic number, because the mean of its divisors is an integer number (23350145).

Almost surely, 2^2755825920 is an apocalyptic number.

2755825920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2755825920 is the 74240-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2755825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043631320).

2755825920 is an abundant number, since it is smaller than the sum of its proper divisors (7331436720).

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

2755825920 is a wasteful number, since it uses less digits than its factorization.

2755825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 2755825920 is about 52495.9609874893. The cubic root of 2755825920 is about 1402.0083285186.

The spelling of 2755825920 in words is "two billion, seven hundred fifty-five million, eight hundred twenty-five thousand, nine hundred twenty".