2462394816 has 168 divisors, whose sum is σ = 8365418880. Its totient is φ = 703510272.

The previous prime is 2462394811. The next prime is 2462394833. The reversal of 2462394816 is 6184932642.

2462394816 is a `hidden beast` number, since 2 + 4 + 623 + 9 + 4 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2462394811) 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, 97555 + ... + 120173.

It is an arithmetic number, because the mean of its divisors is an integer number (49794160).

Almost surely, 2^2462394816 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 2462394816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182709440).

2462394816 is an abundant number, since it is smaller than the sum of its proper divisors (5903024064).

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

2462394816 is an equidigital number, since it uses as much as digits as its factorization.

2462394816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22653 (or 22631 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 2462394816 is about 49622.5232732073. The cubic root of 2462394816 is about 1350.3693211774.

The spelling of 2462394816 in words is "two billion, four hundred sixty-two million, three hundred ninety-four thousand, eight hundred sixteen".