2509981344 has 120 divisors (see below), whose sum is σ = 7949721780. Its totient is φ = 772291584.

The previous prime is 2509981307. The next prime is 2509981361. The reversal of 2509981344 is 4431899052.

2509981344 is a `hidden beast` number, since 2 + 509 + 9 + 8 + 134 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2478844944 + 31136400 = 49788^2 + 5580^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2509981344.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3549 + ... + 70940.

Almost surely, 2^2509981344 is an apocalyptic number.

2509981344 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 2509981344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974860890).

2509981344 is an abundant number, since it is smaller than the sum of its proper divisors (5439740436).

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

2509981344 is a wasteful number, since it uses less digits than its factorization.

2509981344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74524 (or 74507 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2509981344 is about 50099.7140111598. The cubic root of 2509981344 is about 1359.0126455265.

The spelling of 2509981344 in words is "two billion, five hundred nine million, nine hundred eighty-one thousand, three hundred forty-four".