2516099040 has 648 divisors, whose sum is σ = 10866682008. Its totient is φ = 528353280.

The previous prime is 2516099021. The next prime is 2516099071. The reversal of 2516099040 is 409906152.

2516099040 is a `hidden beast` number, since 2 + 5 + 1 + 609 + 9 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2516098986 and 2516099004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11924535 + ... + 11924745.

It is an arithmetic number, because the mean of its divisors is an integer number (16769571).

Almost surely, 2^2516099040 is an apocalyptic number.

2516099040 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 2516099040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433341004).

2516099040 is an abundant number, since it is smaller than the sum of its proper divisors (8350582968).

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

2516099040 is a wasteful number, since it uses less digits than its factorization.

2516099040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2516099040 is about 50160.7320520744. The cubic root of 2516099040 is about 1360.1158782463.

The spelling of 2516099040 in words is "two billion, five hundred sixteen million, ninety-nine thousand, forty".