2516616720 has 60 divisors (see below), whose sum is σ = 8451640236. Its totient is φ = 671097600.

The previous prime is 2516616719. The next prime is 2516616727. The reversal of 2516616720 is 276166152.

It is a happy number.

2516616720 is a `hidden beast` number, since 2 + 5 + 16 + 616 + 7 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 433972224 + 2082644496 = 20832^2 + 45636^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2516616727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1746931 + ... + 1748370.

Almost surely, 2^2516616720 is an apocalyptic number.

2516616720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2516616720 is an abundant number, since it is smaller than the sum of its proper divisors (5935023516).

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

2516616720 is a wasteful number, since it uses less digits than its factorization.

2516616720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495320 (or 3495311 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2516616720 is about 50165.8919984485. The cubic root of 2516616720 is about 1360.2091518010.

The spelling of 2516616720 in words is "two billion, five hundred sixteen million, six hundred sixteen thousand, seven hundred twenty".