2914216404820 has 144 divisors (see below), whose sum is σ = 7532256614400. Its totient is φ = 946571742144.

The previous prime is 2914216404797. The next prime is 2914216404889. The reversal of 2914216404820 is 284046124192.

It is a super-2 number, since 2×2914216404820² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1888077 + ... + 3064843.

It is an arithmetic number, because the mean of its divisors is an integer number (52307337600).

Almost surely, 2^{2914216404820} is an apocalyptic number.

2914216404820 is a gapful number since it is divisible by the number (20) 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 2914216404820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766128307200).

2914216404820 is an abundant number, since it is smaller than the sum of its proper divisors (4618040209580).

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

2914216404820 is a wasteful number, since it uses less digits than its factorization.

2914216404820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176835 (or 1176800 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 2914216404820 in words is "two trillion, nine hundred fourteen billion, two hundred sixteen million, four hundred four thousand, eight hundred twenty".