2509942344 has 256 divisors, whose sum is σ = 8341401600. Its totient is φ = 610993152.

The previous prime is 2509942343. The next prime is 2509942349. The reversal of 2509942344 is 4432499052.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2509942296 and 2509942305.

It is not an unprimeable number, because it can be changed into a prime (2509942343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1455867 + ... + 1457589.

It is an arithmetic number, because the mean of its divisors is an integer number (32583600).

Almost surely, 2^2509942344 is an apocalyptic number.

2509942344 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 2509942344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170700800).

2509942344 is an abundant number, since it is smaller than the sum of its proper divisors (5831459256).

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

2509942344 is a wasteful number, since it uses less digits than its factorization.

2509942344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 2509942344 is about 50099.3247858691. The cubic root of 2509942344 is about 1359.0056067268.

The spelling of 2509942344 in words is "two billion, five hundred nine million, nine hundred forty-two thousand, three hundred forty-four".