2516416000 has 320 divisors, whose sum is σ = 7399776384. Its totient is φ = 835584000.

The previous prime is 2516415997. The next prime is 2516416003. The reversal of 2516416000 is 6146152.

2516416000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2516415997) and next prime (2516416003).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516416003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18367932 + ... + 18368068.

Almost surely, 2^2516416000 is an apocalyptic number.

2516416000 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 2516416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699888192).

2516416000 is an abundant number, since it is smaller than the sum of its proper divisors (4883360384).

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

2516416000 is an equidigital number, since it uses as much as digits as its factorization.

2516416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2516416000 is about 50163.8913961028. The cubic root of 2516416000 is about 1360.1729883760.

The spelling of 2516416000 in words is "two billion, five hundred sixteen million, four hundred sixteen thousand".