2495821952 has 128 divisors (see below), whose sum is σ = 5743301760. Its totient is φ = 1070088192.

The previous prime is 2495821949. The next prime is 2495822011. The reversal of 2495821952 is 2591285942.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2495821897 and 2495821906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2347373 + ... + 2348435.

It is an arithmetic number, because the mean of its divisors is an integer number (44869545).

Almost surely, 2^2495821952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2495821952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871650880).

2495821952 is an abundant number, since it is smaller than the sum of its proper divisors (3247479808).

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

2495821952 is a wasteful number, since it uses less digits than its factorization.

2495821952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1178 counting only the distinct ones).

The product of its digits is 518400, while the sum is 47.

The square root of 2495821952 is about 49958.2020493132. The cubic root of 2495821952 is about 1356.4523222499.

The spelling of 2495821952 in words is "two billion, four hundred ninety-five million, eight hundred twenty-one thousand, nine hundred fifty-two".