2516425600 has 192 divisors, whose sum is σ = 6749099280. Its totient is φ = 921600000.

The previous prime is 2516425547. The next prime is 2516425603. The reversal of 2516425600 is 65246152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516425603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10025475 + ... + 10025725.

Almost surely, 2^2516425600 is an apocalyptic number.

2516425600 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 2516425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374549640).

2516425600 is an abundant number, since it is smaller than the sum of its proper divisors (4232673680).

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

2516425600 is a wasteful number, since it uses less digits than its factorization.

2516425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 2516425600 is about 50163.9870823682. The cubic root of 2516425600 is about 1360.1747180376.

It can be divided in two parts, 251 and 6425600, that multiplied together give a square (1612825600 = 40160²).

The spelling of 2516425600 in words is "two billion, five hundred sixteen million, four hundred twenty-five thousand, six hundred".