2914834144 has 48 divisors (see below), whose sum is σ = 6136418736. Its totient is φ = 1358080000.

The previous prime is 2914834141. The next prime is 2914834147. The reversal of 2914834144 is 4414384192.

It is an interprime number because it is at equal distance from previous prime (2914834141) and next prime (2914834147).

It is a junction number, because it is equal to n+sod(n) for n = 2914834097 and 2914834106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2914834141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28419 + ... + 81469.

It is an arithmetic number, because the mean of its divisors is an integer number (127842057).

Almost surely, 2^2914834144 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 2914834144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068209368).

2914834144 is an abundant number, since it is smaller than the sum of its proper divisors (3221584592).

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

2914834144 is a wasteful number, since it uses less digits than its factorization.

2914834144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53179 (or 53171 counting only the distinct ones).

The product of its digits is 110592, while the sum is 40.

The square root of 2914834144 is about 53989.2039578285. The cubic root of 2914834144 is about 1428.4705221070.

The spelling of 2914834144 in words is "two billion, nine hundred fourteen million, eight hundred thirty-four thousand, one hundred forty-four".