2495164672 has 324 divisors, whose sum is σ = 6907992336. Its totient is φ = 888975360.

The previous prime is 2495164667. The next prime is 2495164691. The reversal of 2495164672 is 2764615942.

Its product of digits (725760) is a multiple of the sum of its prime divisors (140).

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 35 ways as a sum of consecutive naturals, for example, 23319243 + ... + 23319349.

It is an arithmetic number, because the mean of its divisors is an integer number (21320964).

Almost surely, 2^2495164672 is an apocalyptic number.

2495164672 is a gapful number since it is divisible by the number (22) 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 2495164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453996168).

2495164672 is an abundant number, since it is smaller than the sum of its proper divisors (4412827664).

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

2495164672 is a wasteful number, since it uses less digits than its factorization.

2495164672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 140 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 2495164672 is about 49951.6233169654. The cubic root of 2495164672 is about 1356.3332369309. Note that the first 3 decimals are identical.

The spelling of 2495164672 in words is "two billion, four hundred ninety-five million, one hundred sixty-four thousand, six hundred seventy-two".