2468178672 has 80 divisors (see below), whose sum is σ = 6607434240. Its totient is φ = 793368576.

The previous prime is 2468178667. The next prime is 2468178689. The reversal of 2468178672 is 2768718642.

2468178672 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155488 + ... + 170624.

It is an arithmetic number, because the mean of its divisors is an integer number (82592928).

Almost surely, 2^2468178672 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 2468178672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303717120).

2468178672 is an abundant number, since it is smaller than the sum of its proper divisors (4139255568).

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

2468178672 is a wasteful number, since it uses less digits than its factorization.

2468178672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15270 (or 15264 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 2468178672 is about 49680.7676269198. The cubic root of 2468178672 is about 1351.4257770642.

The spelling of 2468178672 in words is "two billion, four hundred sixty-eight million, one hundred seventy-eight thousand, six hundred seventy-two".