2495623680 has 480 divisors, whose sum is σ = 9690183360. Its totient is φ = 588349440.

The previous prime is 2495623657. The next prime is 2495623687. The reversal of 2495623680 is 863265942.

2495623680 is a `hidden beast` number, since 2 + 4 + 9 + 562 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (2495623687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10897806 + ... + 10898034.

It is an arithmetic number, because the mean of its divisors is an integer number (20187882).

Almost surely, 2^2495623680 is an apocalyptic number.

2495623680 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 2495623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845091680).

2495623680 is an abundant number, since it is smaller than the sum of its proper divisors (7194559680).

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

2495623680 is a wasteful number, since it uses less digits than its factorization.

2495623680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2495623680 is about 49956.2176310417. The cubic root of 2495623680 is about 1356.4164017339.

The spelling of 2495623680 in words is "two billion, four hundred ninety-five million, six hundred twenty-three thousand, six hundred eighty".