2549946960 has 640 divisors, whose sum is σ = 10413619200. Its totient is φ = 566599680.

The previous prime is 2549946953. The next prime is 2549946991. The reversal of 2549946960 is 696499452.

It is a happy number.

2549946960 is a `hidden beast` number, since 2 + 549 + 9 + 4 + 6 + 96 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2549946897 and 2549946906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23831227 + ... + 23831333.

It is an arithmetic number, because the mean of its divisors is an integer number (16271280).

Almost surely, 2^2549946960 is an apocalyptic number.

2549946960 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 2549946960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5206809600).

2549946960 is an abundant number, since it is smaller than the sum of its proper divisors (7863672240).

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

2549946960 is a wasteful number, since it uses less digits than its factorization.

2549946960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 2549946960 is about 50496.9995148227. Note that the first 3 decimals coincide. The cubic root of 2549946960 is about 1366.1877356809.

The spelling of 2549946960 in words is "two billion, five hundred forty-nine million, nine hundred forty-six thousand, nine hundred sixty".