2918421792 has 576 divisors, whose sum is σ = 10625126400. Its totient is φ = 770964480.

The previous prime is 2918421787. The next prime is 2918421797. The reversal of 2918421792 is 2971248192.

2918421792 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 an interprime number because it is at equal distance from previous prime (2918421787) and next prime (2918421797).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2918421797) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36942009 + ... + 36942087.

It is an arithmetic number, because the mean of its divisors is an integer number (18446400).

Almost surely, 2^2918421792 is an apocalyptic number.

2918421792 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 2918421792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312563200).

2918421792 is an abundant number, since it is smaller than the sum of its proper divisors (7706704608).

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

2918421792 is a wasteful number, since it uses less digits than its factorization.

2918421792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 2918421792 is about 54022.4193460456. The cubic root of 2918421792 is about 1429.0563471201.

The spelling of 2918421792 in words is "two billion, nine hundred eighteen million, four hundred twenty-one thousand, seven hundred ninety-two".