2516193120 has 768 divisors, whose sum is σ = 10450944000. Its totient is φ = 505774080.

The previous prime is 2516193109. The next prime is 2516193133. The reversal of 2516193120 is 213916152.

2516193120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81167505 + ... + 81167535.

It is an arithmetic number, because the mean of its divisors is an integer number (13608000).

Almost surely, 2^2516193120 is an apocalyptic number.

2516193120 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 2516193120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225472000).

2516193120 is an abundant number, since it is smaller than the sum of its proper divisors (7934750880).

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

2516193120 is a wasteful number, since it uses less digits than its factorization.

2516193120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 2516193120 is about 50161.6698286650. The cubic root of 2516193120 is about 1360.1328301634.

The spelling of 2516193120 in words is "two billion, five hundred sixteen million, one hundred ninety-three thousand, one hundred twenty".