2916534400 has 144 divisors (see below), whose sum is σ = 7803041310. Its totient is φ = 1076674560.

The previous prime is 2916534367. The next prime is 2916534421. The reversal of 2916534400 is 44356192.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 59845696 + 2856688704 = 7736^2 + 53448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 538104 + ... + 543496.

Almost surely, 2^2916534400 is an apocalyptic number.

2916534400 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 2916534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901520655).

2916534400 is an abundant number, since it is smaller than the sum of its proper divisors (4886506910).

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

2916534400 is a wasteful number, since it uses less digits than its factorization.

2916534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5443 (or 5413 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 2916534400 is about 54004.9479214636. The cubic root of 2916534400 is about 1428.7482158358.

The spelling of 2916534400 in words is "two billion, nine hundred sixteen million, five hundred thirty-four thousand, four hundred".