2495956320 has 1152 divisors, whose sum is σ = 11412430848. Its totient is φ = 486604800.

The previous prime is 2495956319. The next prime is 2495956321. The reversal of 2495956320 is 236595942.

2495956320 is a `hidden beast` number, since 2 + 4 + 9 + 5 + 9 + 5 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2495956319) and next prime (2495956321).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2495956321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80514705 + ... + 80514735.

It is an arithmetic number, because the mean of its divisors is an integer number (9906624).

Almost surely, 2^2495956320 is an apocalyptic number.

2495956320 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 2495956320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706215424).

2495956320 is an abundant number, since it is smaller than the sum of its proper divisors (8916474528).

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

2495956320 is a wasteful number, since it uses less digits than its factorization.

2495956320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 2495956320 is about 49959.5468354148. The cubic root of 2495956320 is about 1356.4766643328.

The spelling of 2495956320 in words is "two billion, four hundred ninety-five million, nine hundred fifty-six thousand, three hundred twenty".