2516005000 has 80 divisors (see below), whose sum is σ = 5939645580. Its totient is φ = 998784000.

The previous prime is 2516004961. The next prime is 2516005007. The reversal of 2516005000 is 5006152.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 586511524 + 1929493476 = 24218^2 + 43926^2 .

It is not an unprimeable number, because it can be changed into a prime (2516005007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 683164 + ... + 686836.

Almost surely, 2^2516005000 is an apocalyptic number.

2516005000 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 2516005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969822790).

2516005000 is an abundant number, since it is smaller than the sum of its proper divisors (3423640580).

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

2516005000 is a wasteful number, since it uses less digits than its factorization.

2516005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 2516005000 is about 50159.7946566770. The cubic root of 2516005000 is about 1360.0989331144.

The spelling of 2516005000 in words is "two billion, five hundred sixteen million, five thousand".