2616252400 has 120 divisors (see below), whose sum is σ = 6885295920. Its totient is φ = 950906880.

The previous prime is 2616252319. The next prime is 2616252437. The reversal of 2616252400 is 42526162.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190567 + ... + 203833.

It is an arithmetic number, because the mean of its divisors is an integer number (57377466).

Almost surely, 2^2616252400 is an apocalyptic number.

2616252400 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 2616252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442647960).

2616252400 is an abundant number, since it is smaller than the sum of its proper divisors (4269043520).

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

2616252400 is a wasteful number, since it uses less digits than its factorization.

2616252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13331 (or 13320 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2616252400 is about 51149.3147559183. The cubic root of 2616252400 is about 1377.9280676808.

Adding to 2616252400 its reverse (42526162), we get a palindrome (2658778562).

The spelling of 2616252400 in words is "two billion, six hundred sixteen million, two hundred fifty-two thousand, four hundred".