2468040192 has 240 divisors, whose sum is σ = 7507019520. Its totient is φ = 809367552.

The previous prime is 2468040173. The next prime is 2468040199. The reversal of 2468040192 is 2910408642.

2468040192 is a `hidden beast` number, since 2 + 468 + 0 + 4 + 0 + 192 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468040199) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10326409 + ... + 10326647.

It is an arithmetic number, because the mean of its divisors is an integer number (31279248).

Almost surely, 2^2468040192 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 2468040192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753509760).

2468040192 is an abundant number, since it is smaller than the sum of its proper divisors (5038979328).

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

2468040192 is an frugal number, since it uses more digits than its factorization.

2468040192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2468040192 is about 49679.3739090983. The cubic root of 2468040192 is about 1351.4005021596.

The spelling of 2468040192 in words is "two billion, four hundred sixty-eight million, forty thousand, one hundred ninety-two".