2550461760 has 1008 divisors, whose sum is σ = 11708416512. Its totient is φ = 503193600.

The previous prime is 2550461759. The next prime is 2550461761. The reversal of 2550461760 is 671640552.

It is a happy number.

2550461760 is a `hidden beast` number, since 2 + 550 + 46 + 1 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2550461759) and next prime (2550461761).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2550461761) 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 143 ways as a sum of consecutive naturals, for example, 48121894 + ... + 48121946.

Almost surely, 2^2550461760 is an apocalyptic number.

2550461760 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 2550461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854208256).

2550461760 is an abundant number, since it is smaller than the sum of its proper divisors (9157954752).

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

2550461760 is a wasteful number, since it uses less digits than its factorization.

2550461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2550461760 is about 50502.0965901417. The cubic root of 2550461760 is about 1366.2796678051.

The spelling of 2550461760 in words is "two billion, five hundred fifty million, four hundred sixty-one thousand, seven hundred sixty".