2516134400 has 120 divisors (see below), whose sum is σ = 6713895804. Its totient is φ = 928972800.

The previous prime is 2516134393. The next prime is 2516134403. The reversal of 2516134400 is 44316152.

It can be written as a sum of positive squares in 6 ways, for example, as 210598144 + 2305536256 = 14512^2 + 48016^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2516134400.

It is not an unprimeable number, because it can be changed into a prime (2516134403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158840 + ... + 173960.

Almost surely, 2^2516134400 is an apocalyptic number.

2516134400 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 2516134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356947902).

2516134400 is an abundant number, since it is smaller than the sum of its proper divisors (4197761404).

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

2516134400 is a wasteful number, since it uses less digits than its factorization.

2516134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15162 (or 15141 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2516134400 is about 50161.0845177813. The cubic root of 2516134400 is about 1360.1222496797.

The spelling of 2516134400 in words is "two billion, five hundred sixteen million, one hundred thirty-four thousand, four hundred".