2934214416 has 160 divisors (see below), whose sum is σ = 10191847680. Its totient is φ = 789018624.

The previous prime is 2934214391. The next prime is 2934214427. The reversal of 2934214416 is 6144124392.

2934214416 is a `hidden beast` number, since 29 + 3 + 4 + 214 + 416 = 666.

It is a super-2 number, since 2×2934214416² = 17219228478124442112, which contains 22 as substring.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22870 + ... + 79946.

It is an arithmetic number, because the mean of its divisors is an integer number (63699048).

Almost surely, 2^2934214416 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 2934214416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5095923840).

2934214416 is an abundant number, since it is smaller than the sum of its proper divisors (7257633264).

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

2934214416 is a wasteful number, since it uses less digits than its factorization.

2934214416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57118 (or 57106 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2934214416 is about 54168.3894536288. The cubic root of 2934214416 is about 1431.6294230590.

The spelling of 2934214416 in words is "two billion, nine hundred thirty-four million, two hundred fourteen thousand, four hundred sixteen".