2549971760 has 320 divisors, whose sum is σ = 7487616000. Its totient is φ = 804722688.

The previous prime is 2549971759. The next prime is 2549971771. The reversal of 2549971760 is 671799452.

It is a junction number, because it is equal to n+sod(n) for n = 2549971699 and 2549971708.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34931084 + ... + 34931156.

It is an arithmetic number, because the mean of its divisors is an integer number (23398800).

Almost surely, 2^2549971760 is an apocalyptic number.

2549971760 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 2549971760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3743808000).

2549971760 is an abundant number, since it is smaller than the sum of its proper divisors (4937644240).

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

2549971760 is a wasteful number, since it uses less digits than its factorization.

2549971760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 50.

The square root of 2549971760 is about 50497.2450733701. The cubic root of 2549971760 is about 1366.1921647072.

The spelling of 2549971760 in words is "two billion, five hundred forty-nine million, nine hundred seventy-one thousand, seven hundred sixty".