2495344320 has 560 divisors, whose sum is σ = 10754441280. Its totient is φ = 536150016.

The previous prime is 2495344307. The next prime is 2495344321. The reversal of 2495344320 is 234435942.

2495344320 is a `hidden beast` number, since 249 + 53 + 44 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is not an unprimeable number, because it can be changed into a prime (2495344321) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 3084076 + ... + 3084884.

Almost surely, 2^2495344320 is an apocalyptic number.

2495344320 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 2495344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377220640).

2495344320 is an abundant number, since it is smaller than the sum of its proper divisors (8259096960).

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

2495344320 is a wasteful number, since it uses less digits than its factorization.

2495344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2495344320 is about 49953.4215044375. The cubic root of 2495344320 is about 1356.3657874487.

The spelling of 2495344320 in words is "two billion, four hundred ninety-five million, three hundred forty-four thousand, three hundred twenty".